ORIGINAL_ARTICLE
Local Convergence for a Family of Sixth Order Chebyshev-Halley-Type Methods in Banach Space Under Weak Conditions
We present a local convergence analysis for a family of super-Halley methods of high convergence order in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first and second Fréchet-derivative of the operator involved. Earlier studies use hypotheses up to the third Fréchet-derivative. Numerical examples are also provided in this study.
http://www.kjm-math.org/article_51873_01211642c310828d7695de3477fc151d.pdf
2018-01-01T11:23:20
2021-04-13T11:23:20
1
12
10.22034/kjm.2017.51873
Chebyshev-Halley method
Banach space
local convergence
radius of convergence
Fréchet-derivative
Ioannis
Argyros
iargyros@cameron.edu
true
1
Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA.
Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA.
Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA.
AUTHOR
Santhosh
George
sgeorge@nitk.edu.in
true
2
Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India-575 025.
Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India-575 025.
Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India-575 025.
LEAD_AUTHOR
ORIGINAL_ARTICLE
The Second Symmetric Product of Finite Graphs from a Homotopical Viewpoint
This paper describes the classification of the $n$-fold symmetric product of a finite graph by means of its homotopy type, having as universal models the $n$-fold symmetric product of the wedge of $n$-circles; and introduces a CW-complex called $binomial\ torus$, which is homeomorphic to a space that is a strong deformation retract of the second symmetric products of the wedge of $n$-circles. Applying the above we calculate the fundamental group, Euler characteristic, homology and cohomology groups of the second symmetric product of finite graphs.
http://www.kjm-math.org/article_53432_e889f317edc114515e2bb1d54c2de580.pdf
2018-01-01T11:23:20
2021-04-13T11:23:20
13
27
10.22034/kjm.2017.53432
Hyperspaces
symmetric product
finite graph
homotopy
José G.
Anaya
jgao@uaemex.mx
true
1
Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario No. 100, Col. Centro, C. P. 50000, Toluca, México.
Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario No. 100, Col. Centro, C. P. 50000, Toluca, México.
Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario No. 100, Col. Centro, C. P. 50000, Toluca, México.
AUTHOR
Alfredo
Cano
calfredo420@gmail.com
true
2
Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario No. 100, Col. Centro, C. P. 50000, Toluca, México.
Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario No. 100, Col. Centro, C. P. 50000, Toluca, México.
Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario No. 100, Col. Centro, C. P. 50000, Toluca, México.
AUTHOR
Enrique
Castañeda-Alvarado
eca@uaemex.mx
true
3
Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario No. 100, Col. Centro, C. P. 50000, Toluca, México.
Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario No. 100, Col. Centro, C. P. 50000, Toluca, México.
Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario No. 100, Col. Centro, C. P. 50000, Toluca, México.
LEAD_AUTHOR
Marco A.
Castillo-Rubí
eulerubi@yahoo.com.mx
true
4
Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario No. 100, Col. Centro, C. P. 50000, Toluca, México.
Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario No. 100, Col. Centro, C. P. 50000, Toluca, México.
Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario No. 100, Col. Centro, C. P. 50000, Toluca, México.
AUTHOR
ORIGINAL_ARTICLE
A Subclass of Harmonic Univalent Functions Defined by Means of Differential Subordination
The aim of this paper is to introduce a new class of harmonic functionsdefined by use of a subordination. We find necessary and sufficientconditions, radii of starlikeness and convexity and compactness for thisclass of functions. Moreover, by using extreme points theory we also obtaincoefficients estimates, distortion theorems for this class of functions. Onthe other hand, some results (corollaries) on the paper are pointed out.
http://www.kjm-math.org/article_53655_37704e2531cb2f56dc09561deff132ef.pdf
2018-01-01T11:23:20
2021-04-13T11:23:20
28
38
10.22034/kjm.2017.53655
Harmonic functions
univalent functions
modified Su{a}lu{a}gean operator
subordination
Serkan
Çakmak
serkan.cakmak64@gmail.com
true
1
Department of Mathematics, Faculty of Arts and Science, Uludag University, 16059, Görükle, Bursa, Turkey.
Department of Mathematics, Faculty of Arts and Science, Uludag University, 16059, Görükle, Bursa, Turkey.
Department of Mathematics, Faculty of Arts and Science, Uludag University, 16059, Görükle, Bursa, Turkey.
AUTHOR
Sibel
Yalçın
syalcin@uludag.edu.tr
true
2
Department of Mathematics, Faculty of Arts and Science, Uludag University, 16059, Görükle, Bursa, Turkey.
Department of Mathematics, Faculty of Arts and Science, Uludag University, 16059, Görükle, Bursa, Turkey.
Department of Mathematics, Faculty of Arts and Science, Uludag University, 16059, Görükle, Bursa, Turkey.
AUTHOR
Şahsene
Altinkaya
sahsene@uludag.edu.tr
true
3
Department of Mathematics, Faculty of Arts and Science, Uludag University, 16059, Görükle, Bursa, Turkey.
Department of Mathematics, Faculty of Arts and Science, Uludag University, 16059, Görükle, Bursa, Turkey.
Department of Mathematics, Faculty of Arts and Science, Uludag University, 16059, Görükle, Bursa, Turkey.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Ostrowski Type Fractional Integral Operators for Generalized Beta $(r,g)$-Preinvex Functions
In the present paper, the notion of generalized beta $(r,g)$-preinvex function is applied for establish some new generalizations of Ostrowski type inequalities via fractional integral operators. These results not only extend the results appeared in the literature [43] but also provide new estimates on these type. At the end, some applications to special means are given.
http://www.kjm-math.org/article_54680_ff16555c24403f6b3496ce50c6fd8bbf.pdf
2018-01-01T11:23:20
2021-04-13T11:23:20
39
58
10.22034/kjm.2017.54680
Ostrowski type inequality
Hölder's inequality
Minkowski's inequality
power mean inequality
Riemann-Liouville fractional integral
fractional integral operator
$s$-convex function in the second sense
$m$-invex
Artion
Kashuri
artionkashuri@gmail.com
true
1
Department of Mathematics, Faculty of Technical Science, University ”Ismail Qemali”, Vlora, Albania.
Department of Mathematics, Faculty of Technical Science, University ”Ismail Qemali”, Vlora, Albania.
Department of Mathematics, Faculty of Technical Science, University ”Ismail Qemali”, Vlora, Albania.
LEAD_AUTHOR
Rozana
Liko
rozanaliko86@gmail.com
true
2
Department of Mathematics, Faculty of Technical Science, University ”Ismail Qemali”, Vlora, Albania.
Department of Mathematics, Faculty of Technical Science, University ”Ismail Qemali”, Vlora, Albania.
Department of Mathematics, Faculty of Technical Science, University ”Ismail Qemali”, Vlora, Albania.
AUTHOR
Tingsong
Du
tingsongdu@ctgu.edu.cn
true
3
College of Science, China Three Gorges University, 443002, Yichang, P. R. China.
College of Science, China Three Gorges University, 443002, Yichang, P. R. China.
College of Science, China Three Gorges University, 443002, Yichang, P. R. China.
AUTHOR
ORIGINAL_ARTICLE
Constructing an Element of a Banach Space with Given Deviation from its Nested Subspaces
This paper contains two improvements on a theorem of S. N. Bernstein for Banach spaces. We show that if $X$ is an arbitrary infinite-dimensional Banach space, $\{Y_n\}$ is a sequence of strictly nested subspaces of $ X$ and if $\{d_n\}$ is a non-increasing sequence of non-negative numbers tending to 0, then for any $c\in(0,1]$ we can find $x_{c} \in X$, such that the distance $\rho(x_{c}, Y_n)$ from $x_{c}$ to $Y_n$ satisfies$$c d_n \leq \rho(x_{c},Y_n) \leq 4c d_n,~\mbox{for all $n\in\mathbb N$}.$$We prove the above inequality by first improving Borodin (2006)'s result for Banach spaces by weakening his condition on the sequence $\{d_n\}$. The weakened condition on $d_n$ requires refinement of Borodin's construction to extract an element in $X$, whose distances from the nested subspaces are precisely the given values $d_n$.
http://www.kjm-math.org/article_55158_6967a156928a4b5003d50eae0fedc911.pdf
2018-01-01T11:23:20
2021-04-13T11:23:20
59
76
10.22034/kjm.2018.55158
Best approximation
Bernstein's lethargy theorem
Banach space
Hahn-Banach theorem
Asuman
Aksoy
aaksoy@cmc.edu
true
1
Department of Mathematics, Claremont McKenna College, 850 Columbia Avenue, Claremont, CA 91711, USA.
Department of Mathematics, Claremont McKenna College, 850 Columbia Avenue, Claremont, CA 91711, USA.
Department of Mathematics, Claremont McKenna College, 850 Columbia Avenue, Claremont, CA 91711, USA.
LEAD_AUTHOR
Qidi
Peng
qidi.peng@cgu.edu
true
2
Institute of Mathematical Sciences, Claremont Graduate University, 710 N. College Avenue, Claremont, CA 91711, USA.
Institute of Mathematical Sciences, Claremont Graduate University, 710 N. College Avenue, Claremont, CA 91711, USA.
Institute of Mathematical Sciences, Claremont Graduate University, 710 N. College Avenue, Claremont, CA 91711, USA.
AUTHOR
ORIGINAL_ARTICLE
Laplacian and Signless Laplacian Spectrum of Commuting Graphs of Finite Groups
The commuting graph of a finite non-abelian group $G$ with center $Z(G)$, denoted by $\Gamma_G$, is a simple undirected graph whose vertex set is $G\setminus Z(G)$, and two distinct vertices $x$ and $y$ are adjacent if and only if $xy = yx$.A finite non-abelian group $G$ is called super integral if the spectrum, Laplacian spectrum and signless Laplacian spectrum of its commuting graph contain only integers.In this paper, we first compute Laplacian spectrum and signless Laplacian spectrum of several families of finite non-abelian groups and conclude that those groups are super integral. As an application of our results we obtainsome positive rational numbers $r$ such that $G$ is super integral if commutativity degree of $G$ is $r$. In the last section, we show that $G$ is super integral if $G$ is not isomorphic to $S_4$ and its commuting graph is planar. We conclude the paper showing that $G$ is super integral if its commuting graph is toroidal.
http://www.kjm-math.org/article_57490_293c3a034fe521dab3aecbbd7b850f8f.pdf
2018-01-01T11:23:20
2021-04-13T11:23:20
77
87
10.22034/kjm.2018.57490
Commuting graph
spectrum
integral graph
finite group
Jutirekha
Dutta
jutirekhadutta@yahoo.com
true
1
Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India.
Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India.
Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India.
AUTHOR
Rajat
Nath
rajatkantinath@yahoo.com
true
2
Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India.
Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India.
Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Polynomial Bounds for a Class of Univalent Function Involving Sigmoid Function
In this work, a new subclass of univalent function was defined using the Sălăgean differential operator involving the modified sigmoid function and the Chebyshev polynomials. The coefficient bounds and the Fekete-Szego functional of this class were obtained using subordination principle. The results obtained agree and extend some earlier results.
http://www.kjm-math.org/article_57721_db05732ca68e42ed7238c4b1cd3b3338.pdf
2018-01-01T11:23:20
2021-04-13T11:23:20
88
101
10.22034/kjm.2018.57721
Analytic function
Sigmoid function
Chebyshev polynomials
Sălăgean operator
Olubunmi
Fadipe-Joseph
famelov@gmail.com
true
1
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria.
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria.
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria.
LEAD_AUTHOR
Bilikis
Kadir
bilkiskadir@gmail.com
true
2
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria.
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria.
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria.
AUTHOR
Sunday
Akinwumi
olusundey@yahoo.com
true
3
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria.
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria.
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria.
AUTHOR
Esther
Adeniran
yemisioduwole1@gmail.com
true
4
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria.
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria.
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria.
AUTHOR
ORIGINAL_ARTICLE
Ricci Solitons on Kenmotsu Manifolds under $D$-Homothetic Deformation
The aim of the present paper is to study Ricci solitons in Kenmotsu manifolds under $D$-homothetic deformation. We analyzed behaviour of Ricci solitons when potential vector field is orthogonal to Reeb vector field and pointwise collinear with Reeb vector field. Further we prove Ricci solitons in $D$-homothetically transformed Kenmotsu manifolds are shrinking.
http://www.kjm-math.org/article_57725_899a6e6b876f185709cce8565826c41a.pdf
2018-01-01T11:23:20
2021-04-13T11:23:20
102
109
10.22034/kjm.2018.57725
Halammanavar
Nagaraja
hgnraj@yahoo.com
true
1
Department of Mathematics, Jnanabharathi Campus, Bangalore University, Bengaluru, 560 056, INDIA.
Department of Mathematics, Jnanabharathi Campus, Bangalore University, Bengaluru, 560 056, INDIA.
Department of Mathematics, Jnanabharathi Campus, Bangalore University, Bengaluru, 560 056, INDIA.
LEAD_AUTHOR
Devasandra
Kiran Kumar
kirankumar250791@gmail.com
true
2
Department of Mathematics, Jnanabharathi Campus, Bangalore University, Bengaluru, 560 056, INDIA.
Department of Mathematics, Jnanabharathi Campus, Bangalore University, Bengaluru, 560 056, INDIA.
Department of Mathematics, Jnanabharathi Campus, Bangalore University, Bengaluru, 560 056, INDIA.
AUTHOR
Venkateshmurthy
Prasad
vspriem@gmail.com
true
3
Department of Mathematics, Regional institute of Education (NCERT), Manasagangotri, Mysore, 570006, INDIA.
Department of Mathematics, Regional institute of Education (NCERT), Manasagangotri, Mysore, 570006, INDIA.
Department of Mathematics, Regional institute of Education (NCERT), Manasagangotri, Mysore, 570006, INDIA.
AUTHOR