eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2016-08-01
2
2
112
119
10.22034/kjm.2016.34114
34114
Fekete–Szegő Inequalities for Certain Subclasses of Starlike and Convex Functions of Complex Order Associated with Quasi-subordination
Nanjundan Magesh
nmagi_2000@yahoo.co.in
1
V. K. Balaji
balajilsp@yahoo.co.in
2
C. Abirami
shreelekha07@yahoo.com
3
Post-Graduate and Research Department of Mathematics, Government Arts College for Men, Krishnagiri 635001, Tamilnadu, India.
Department of Mathematics, L.N. Govt. College Ponneri, Chennai, Tamilnadu, India.
Faculty of Engineering and Technology, SRM University, Kattankulathur- 603203, Tamilnadu, India.
<span>In this paper, we find Fekete-Szeg¨o bounds for a generalized class<br /></span> <br />$mathcal{M}^{delta, lambda}_{q}(gamma, varphi).$ Also, we discuss some remarkable results.
http://www.kjm-math.org/article_34114_8480ef6249be956f056ac10de698f621.pdf
univalent functions
starlike of Ma-Minda type and convex of Ma-Minda type
majorization and quasi-subordination
eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2016-08-01
2
2
120
127
10.22034/kjm.2016.40640
40640
On Some Fractional Integral Inequalities of Hermite-Hadamard Type for $r$-Preinvex Functions
Abdullah Akkurt
abdullahmat@gmail.com
1
Hüseyin Yildirim
hyildir@ksu.edu.tr
2
Department of Mathematics, Faculty of Science and Arts, University of Kahramanmaraş Sütçü İmam, 46100, Kahramanmaraş, Turkey.
Department of Mathematics, Faculty of Science and Arts, University of Kahramanmaraş Sütçü İmam, 46100, Kahramanmaraş, Turkey.
In this paper, we prove Hermite-Hadamard type inequalities for $r$-preinvex<br />functions via fractional integrals. The results presented here would provide<br />extensions of those given in earlier works.
http://www.kjm-math.org/article_40640_2cd4008202b92c4593e1db0a9037e1ba.pdf
integral inequalities
Fractional integrals
Hermite-Hadamard inequality
preinvex functions
eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2016-08-01
2
2
128
167
10.22034/kjm.2016.41044
41044
Bergman Kernel Estimates and Toeplitz Operators on Holomorphic Line Bundles
Said Asserda
asserda-said@univ-ibntofail.ac.ma
1
Ibn tofail University, Faculty of Sciences, Department of Mathematics, P.O.Box 242, Kenitra, Morocco.
We characterize operator-theoretic properties<br />(boundedness, compactness, and Schatten class membership) of Toeplitz<br />operators with positive measure symbols on Bergman spaces of holomorphic hermitian line bundles over<span> <span>Kähler</span></span> Cartan-Hadamard manifolds in terms of geometric or operator-theoretic properties of measures.
http://www.kjm-math.org/article_41044_b5937b35de5448dcc44be7f472ebe59c.pdf
Toeplitz operator
Bergman space
line bundle
Schatten class
eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2016-08-01
2
2
168
176
10.22034/kjm.2016.41250
41250
Geodesic Flows on the Quotient of the Upper Half Plane over the Hecke Group
Sanaz Lamei
lamei@guilan.ac.ir
1
Faculty of Mathematical Sciences, University of Guilan, P.O.Box 1914, Rasht, Iran.
The Hecke group $G_alpha$ is a family of discrete sub-groups of<br />$PSL(2,,mathbb{R})$. The quotient space of the action of<br />$G_alpha$ on the upper half plane gives a Riemann surface. The<br />geodesic flows on this surface are ergodic. Here, by constructing<br />a phase space for the geodesic flows hitting an appropriate cross<br />section, we find the arithmetic code of these flows and show<br />that their code space is a topological Markov chain.
http://www.kjm-math.org/article_41250_9154e7145e6560769c7f4f7801c2fa99.pdf
Hecke group
geodesic flow
arithmetic coding
eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2016-08-01
2
2
177
187
10.22034/kjm.2016.41345
41345
Anisotropic Herz-Morrey Spaces with Variable Exponents
Hongbin Wang
wanghb@sdut.edu.cn
1
Yihong Wu
wfapple123456@163.com
2
School of Mathematical Sciences,, University of Chinese Academy of Sciences,, Beijing 100049, China; School of Science, Shandong University of Technology, Zibo 255049, China.
Department of Recruitment and Employment, Zibo Normal College, Zibo 255130, China.
In this paper, the authors introduce the anisotropic Herz-Morrey spaces with two variable<br />exponents and obtain some properties of these spaces. Subsequently as an application, the authors give some boundedness on the anisotropic Herz-Morrey spaces with two variable exponents for a class of sublinear<br />operators, which extend some known results.
http://www.kjm-math.org/article_41345_4dfacbb787d3f6b80379362894944074.pdf
Anisotropic Herz-Morrey space
variable exponent
boundedness
sublinear operator
eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2016-08-01
2
2
188
193
10.22034/kjm.2017.42295
42295
Eisenhart Problem to Submanifolds in Non-Flat Real Space Form
Mundalamane Manjappa Praveena
mmpraveenamaths@gmail.com
1
Channabasappa Shanthappa Bagewadi
prof_bagewadi@yahoo.co.in
2
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India.
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India.
We apply the Eisenhart problem to study the geometric properties of<br />submanifold $M$ of non-flat real space form. It is shown that $M$<br /> is a hypersphere $S^{3}$ when $sigma$ is parallel. When $sigma$ is either semi-parallel or recurrent,<br /> then $M$ is either an extrinsic sphere and normal flat or mean curvature vector is parallel in the normal space, respectively.
http://www.kjm-math.org/article_42295_b3ab5c2748d3801e75a0a1f541fa98b0.pdf
Real space forms
submanifolds
parallel second order covariant tensor field
recurrent
eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2016-08-01
2
2
194
200
10.22034/kjm.2017.43707
43707
On the Sharp Bounds for a Comprehensive Class of Analytic and Univalent Functions by Means of Chebyshev Polynomials
Serap Bulut
bulutserap@yahoo.com
1
Nanjundan Magesh
nmagi_2000@yahoo.co.in
2
Kocaeli University, Faculty of Aviation and Space Sciences, Arslanbey Campus, 41285 Kartepe-Kocaeli, TURKEY.
P. G. and Research Department of Mathematics, Govt Arts College for Men, Krishnagiri-635001, India.
In this paper, we obtain initial coefficient bounds for functions belong to<br />a comprehensive subclass of univalent functions by using the Chebyshev<br />polynomials and also we find Fekete-Szeg"{o} inequalities for this class.<br />All results are sharp.
http://www.kjm-math.org/article_43707_cfa9284f4673db186fa22a50fdba9663.pdf
Analytic functions
univalent functions
coefficient bounds
Chebyshev polynomial
Fekete-Szeg"{o} problem
eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2016-08-01
2
2
201
208
10.22034/kjm.2017.43830
43830
Composition Operators on Weighted Bergman-Nevanlinna Spaces with Admissible Weights
Ajay Sharma
aksju_76@yahoo.com
1
Elina Subhadarsini
elinamaths@gmail.com
2
Department of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra-182320, J&K, India.
Department of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra-182320, J&K, India.
A non-negative, non-increasing integrable function $omega$ is an admissible weight if $omega(r)/(1 - r)^{1 + gamma}$ is non-decreasing for some $gamma > 0$ and $lim_{r to 1} omega(r) = 0.$ In this paper, we characterize boundedness and compactness of composition operators on weighted Bergman-Nevanlinna spaces with admissible weights.
http://www.kjm-math.org/article_43830_04df124ffc791fd78d7a0d21a9e0582f.pdf
Composition operator
weighted Bergman Nevanlinna space
Carleson measure
vanishing Carleson measure