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
2
2
2016
08
01
Fekete–Szegő Inequalities for Certain Subclasses of Starlike and Convex Functions of Complex Order Associated with Quasi-subordination
112
119
EN
Nanjundan
Magesh
Post-Graduate and Research Department of Mathematics, Government Arts
College for Men, Krishnagiri 635001, Tamilnadu, India.
nmagi_2000@yahoo.co.in
V. K.
Balaji
Department of Mathematics, L.N. Govt. College Ponneri, Chennai, Tamilnadu, India.
balajilsp@yahoo.co.in
C.
Abirami
Faculty of Engineering and Technology, SRM University, Kattankulathur-
603203, Tamilnadu, India.
shreelekha07@yahoo.com
10.22034/kjm.2016.34114
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.
univalent functions,starlike of Ma-Minda type and convex of Ma-Minda type,majorization and quasi-subordination
http://www.kjm-math.org/article_34114.html
http://www.kjm-math.org/article_34114_8480ef6249be956f056ac10de698f621.pdf
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
2
2
2016
08
01
On Some Fractional Integral Inequalities of Hermite-Hadamard Type for $r$-Preinvex Functions
120
127
EN
Abdullah
Akkurt
Department of Mathematics, Faculty of Science and Arts, University of
Kahramanmaraş Sütçü İmam, 46100, Kahramanmaraş, Turkey.
abdullahmat@gmail.com
Hüseyin
Yildirim
Department of Mathematics, Faculty of Science and Arts, University of
Kahramanmaraş Sütçü İmam, 46100, Kahramanmaraş, Turkey.
hyildir@ksu.edu.tr
10.22034/kjm.2016.40640
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.
integral inequalities,Fractional integrals,Hermite-Hadamard inequality,preinvex functions
http://www.kjm-math.org/article_40640.html
http://www.kjm-math.org/article_40640_2cd4008202b92c4593e1db0a9037e1ba.pdf
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
2
2
2016
08
01
Bergman Kernel Estimates and Toeplitz Operators on Holomorphic Line Bundles
128
167
EN
Said
Asserda
Ibn tofail University, Faculty of Sciences, Department of Mathematics,
P.O.Box 242, Kenitra, Morocco.
asserda-said@univ-ibntofail.ac.ma
10.22034/kjm.2016.41044
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.
Toeplitz operator,Bergman space,line bundle,Schatten class
http://www.kjm-math.org/article_41044.html
http://www.kjm-math.org/article_41044_b5937b35de5448dcc44be7f472ebe59c.pdf
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
2
2
2016
08
01
Geodesic Flows on the Quotient of the Upper Half Plane over the Hecke Group
168
176
EN
Sanaz
Lamei
Faculty of Mathematical Sciences, University of Guilan, P.O.Box 1914,
Rasht, Iran.
lamei@guilan.ac.ir
10.22034/kjm.2016.41250
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.
Hecke group,geodesic flow,arithmetic coding
http://www.kjm-math.org/article_41250.html
http://www.kjm-math.org/article_41250_9154e7145e6560769c7f4f7801c2fa99.pdf
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
2
2
2016
08
01
Anisotropic Herz-Morrey Spaces with Variable Exponents
177
187
EN
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.
wanghb@sdut.edu.cn
Yihong
Wu
Department of Recruitment and Employment, Zibo Normal College, Zibo
255130, China.
wfapple123456@163.com
10.22034/kjm.2016.41345
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.
Anisotropic Herz-Morrey space,variable exponent,boundedness,sublinear operator
http://www.kjm-math.org/article_41345.html
http://www.kjm-math.org/article_41345_4dfacbb787d3f6b80379362894944074.pdf
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
2
2
2016
08
01
Eisenhart Problem to Submanifolds in Non-Flat Real Space Form
188
193
EN
Mundalamane Manjappa
Praveena
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451,
Shimoga, Karnataka, India.
mmpraveenamaths@gmail.com
Channabasappa Shanthappa
Bagewadi
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451,
Shimoga, Karnataka, India.
prof_bagewadi@yahoo.co.in
10.22034/kjm.2017.42295
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.
Real space forms,submanifolds,parallel second order covariant tensor field,recurrent
http://www.kjm-math.org/article_42295.html
http://www.kjm-math.org/article_42295_b3ab5c2748d3801e75a0a1f541fa98b0.pdf
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
2
2
2016
08
01
On the Sharp Bounds for a Comprehensive Class of Analytic and Univalent Functions by Means of Chebyshev Polynomials
194
200
EN
Serap
Bulut
Kocaeli University, Faculty of Aviation and Space Sciences, Arslanbey Campus, 41285 Kartepe-Kocaeli, TURKEY.
bulutserap@yahoo.com
Nanjundan
Magesh
P. G. and Research Department of Mathematics, Govt Arts College for
Men, Krishnagiri-635001, India.
nmagi_2000@yahoo.co.in
10.22034/kjm.2017.43707
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.
Analytic functions,univalent functions,coefficient bounds,Chebyshev polynomial,Fekete-Szeg"{o} problem
http://www.kjm-math.org/article_43707.html
http://www.kjm-math.org/article_43707_cfa9284f4673db186fa22a50fdba9663.pdf
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
2
2
2016
08
01
Composition Operators on Weighted Bergman-Nevanlinna Spaces with Admissible Weights
201
208
EN
Ajay
K.
Sharma
Department of Mathematics, Shri Mata Vaishno Devi University, Kakryal,
Katra-182320, J&K, India.
aksju_76@yahoo.com
Elina
Subhadarsini
Department of Mathematics, Shri Mata Vaishno Devi University, Kakryal,
Katra-182320, J&K, India.
elinamaths@gmail.com
10.22034/kjm.2017.43830
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.
Composition operator,weighted Bergman Nevanlinna space,Carleson measure,vanishing Carleson measure
http://www.kjm-math.org/article_43830.html
http://www.kjm-math.org/article_43830_04df124ffc791fd78d7a0d21a9e0582f.pdf