Fekete–Szegő Inequalities for Certain Subclasses of Starlike and Convex Functions of Complex Order Associated with Quasi-subordination
Nanjundan
Magesh
Post-Graduate and Research Department of Mathematics, Government Arts
College for Men, Krishnagiri 635001, Tamilnadu, India.
author
V. K.
Balaji
Department of Mathematics, L.N. Govt. College Ponneri, Chennai, Tamilnadu, India.
author
C.
Abirami
Faculty of Engineering and Technology, SRM University, Kattankulathur-
603203, Tamilnadu, India.
author
text
article
2016
eng
In this paper, we find Fekete-Szeg¨o bounds for a generalized class $\mathcal{M}^{\delta, \lambda}_{q}(\gamma, \varphi).$ Also, we discuss some remarkable results.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
2
no.
2016
112
119
http://www.kjm-math.org/article_34114_8480ef6249be956f056ac10de698f621.pdf
dx.doi.org/10.22034/kjm.2016.34114
On Some Fractional Integral Inequalities of Hermite-Hadamard Type for $r$-Preinvex Functions
Abdullah
Akkurt
Department of Mathematics, Faculty of Science and Arts, University of
Kahramanmaraş Sütçü İmam, 46100, Kahramanmaraş, Turkey.
author
Hüseyin
Yildirim
Department of Mathematics, Faculty of Science and Arts, University of
Kahramanmaraş Sütçü İmam, 46100, Kahramanmaraş, Turkey.
author
text
article
2016
eng
In this paper, we prove Hermite-Hadamard type inequalities for $r$-preinvexfunctions via fractional integrals. The results presented here would provideextensions of those given in earlier works.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
2
no.
2016
120
127
http://www.kjm-math.org/article_40640_2cd4008202b92c4593e1db0a9037e1ba.pdf
dx.doi.org/10.22034/kjm.2016.40640
Bergman Kernel Estimates and Toeplitz Operators on Holomorphic Line Bundles
Said
Asserda
Ibn tofail University, Faculty of Sciences, Department of Mathematics,
P.O.Box 242, Kenitra, Morocco.
author
text
article
2016
eng
We characterize operator-theoretic properties(boundedness, compactness, and Schatten class membership) of Toeplitzoperators with positive measure symbols on Bergman spaces of holomorphic hermitian line bundles over Kähler Cartan-Hadamard manifolds in terms of geometric or operator-theoretic properties of measures.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
2
no.
2016
128
167
http://www.kjm-math.org/article_41044_b5937b35de5448dcc44be7f472ebe59c.pdf
dx.doi.org/10.22034/kjm.2016.41044
Geodesic Flows on the Quotient of the Upper Half Plane over the Hecke Group
Sanaz
Lamei
Faculty of Mathematical Sciences, University of Guilan, P.O.Box 1914,
Rasht, Iran.
author
text
article
2016
eng
The Hecke group $G_\alpha$ is a family of discrete sub-groups of$PSL(2,\,\mathbb{R})$. The quotient space of the action of$G_\alpha$ on the upper half plane gives a Riemann surface. Thegeodesic flows on this surface are ergodic. Here, by constructinga phase space for the geodesic flows hitting an appropriate crosssection, we find the arithmetic code of these flows and showthat their code space is a topological Markov chain.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
2
no.
2016
168
176
http://www.kjm-math.org/article_41250_9154e7145e6560769c7f4f7801c2fa99.pdf
dx.doi.org/10.22034/kjm.2016.41250
Anisotropic Herz-Morrey Spaces with Variable Exponents
Hongbin
Wang
School of Mathematical Sciences,, University of Chinese Academy of Sciences,, Beijing 100049, China;
School of Science, Shandong University of Technology, Zibo 255049, China.
author
Yihong
Wu
Department of Recruitment and Employment, Zibo Normal College, Zibo
255130, China.
author
text
article
2016
eng
In this paper, the authors introduce the anisotropic Herz-Morrey spaces with two variableexponents 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 sublinearoperators, which extend some known results.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
2
no.
2016
177
187
http://www.kjm-math.org/article_41345_4dfacbb787d3f6b80379362894944074.pdf
dx.doi.org/10.22034/kjm.2016.41345
Eisenhart Problem to Submanifolds in Non-Flat Real Space Form
Mundalamane Manjappa
Praveena
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451,
Shimoga, Karnataka, India.
author
Channabasappa Shanthappa
Bagewadi
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451,
Shimoga, Karnataka, India.
author
text
article
2016
eng
We apply the Eisenhart problem to study the geometric properties ofsubmanifold $M$ of non-flat real space form. It is shown that $M$ is a hypersphere $S^{3}$ when $\sigma$ is parallel. When $\sigma$ is either semi-parallel or recurrent, then $M$ is either an extrinsic sphere and normal flat or mean curvature vector is parallel in the normal space, respectively.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
2
no.
2016
188
193
http://www.kjm-math.org/article_42295_b3ab5c2748d3801e75a0a1f541fa98b0.pdf
dx.doi.org/10.22034/kjm.2017.42295
On the Sharp Bounds for a Comprehensive Class of Analytic and Univalent Functions by Means of Chebyshev Polynomials
Serap
Bulut
Kocaeli University, Faculty of Aviation and Space Sciences, Arslanbey Campus, 41285 Kartepe-Kocaeli, TURKEY.
author
Nanjundan
Magesh
P. G. and Research Department of Mathematics, Govt Arts College for
Men, Krishnagiri-635001, India.
author
text
article
2016
eng
In this paper, we obtain initial coefficient bounds for functions belong toa comprehensive subclass of univalent functions by using the Chebyshevpolynomials and also we find Fekete-Szeg\"{o}\ inequalities for this class.All results are sharp.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
2
no.
2016
194
200
http://www.kjm-math.org/article_43707_cfa9284f4673db186fa22a50fdba9663.pdf
dx.doi.org/10.22034/kjm.2017.43707
Composition Operators on Weighted Bergman-Nevanlinna Spaces with Admissible Weights
Ajay
Sharma
Department of Mathematics, Shri Mata Vaishno Devi University, Kakryal,
Katra-182320, J&K, India.
author
Elina
Subhadarsini
Department of Mathematics, Shri Mata Vaishno Devi University, Kakryal,
Katra-182320, J&K, India.
author
text
article
2016
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
2
no.
2016
201
208
http://www.kjm-math.org/article_43830_04df124ffc791fd78d7a0d21a9e0582f.pdf
dx.doi.org/10.22034/kjm.2017.43830