Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)Khayyam Journal of Mathematics2423-47882220160801Fekete–Szegő Inequalities for Certain Subclasses of Starlike and Convex Functions of Complex Order Associated with Quasi-subordination1121193411410.22034/kjm.2016.34114ENNanjundan MageshPost-Graduate and Research Department of Mathematics, Government Arts
College for Men, Krishnagiri 635001, Tamilnadu, India.0000-0002-0764-8390V. K. BalajiDepartment of Mathematics, L.N. Govt. College Ponneri, Chennai, Tamilnadu, India.C. AbiramiFaculty of Engineering and Technology, SRM University, Kattankulathur-
603203, Tamilnadu, India.Journal Article20160523 <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.https://www.kjm-math.org/article_34114_8480ef6249be956f056ac10de698f621.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)Khayyam Journal of Mathematics2423-47882220160801On Some Fractional Integral Inequalities of Hermite-Hadamard Type for $r$-Preinvex Functions1201274064010.22034/kjm.2016.40640ENAbdullah AkkurtDepartment of Mathematics, Faculty of Science and Arts, University of
Kahramanmaraş Sütçü İmam, 46100, Kahramanmaraş, Turkey.Hüseyin YildirimDepartment of Mathematics, Faculty of Science and Arts, University of
Kahramanmaraş Sütçü İmam, 46100, Kahramanmaraş, Turkey.Journal Article20160819In 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.https://www.kjm-math.org/article_40640_2cd4008202b92c4593e1db0a9037e1ba.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)Khayyam Journal of Mathematics2423-47882220160801Bergman Kernel Estimates and Toeplitz Operators on Holomorphic Line Bundles1281674104410.22034/kjm.2016.41044ENSaid AsserdaIbn tofail University, Faculty of Sciences, Department of Mathematics,
P.O.Box 242, Kenitra, Morocco.Journal Article20160328We 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.https://www.kjm-math.org/article_41044_b5937b35de5448dcc44be7f472ebe59c.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)Khayyam Journal of Mathematics2423-47882220160801Geodesic Flows on the Quotient of the Upper Half Plane over the Hecke Group1681764125010.22034/kjm.2016.41250ENSanaz LameiFaculty of Mathematical Sciences, University of Guilan, P.O.Box 1914,
Rasht, Iran.Journal Article20160918The 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.https://www.kjm-math.org/article_41250_9154e7145e6560769c7f4f7801c2fa99.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)Khayyam Journal of Mathematics2423-47882220160801Anisotropic Herz-Morrey Spaces with Variable Exponents1771874134510.22034/kjm.2016.41345ENHongbin WangSchool of Mathematical Sciences,, University of Chinese Academy of Sciences,, Beijing 100049, China;
School of Science, Shandong University of Technology, Zibo 255049, China.Yihong WuDepartment of Recruitment and Employment, Zibo Normal College, Zibo
255130, China.Journal Article20160815In 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.https://www.kjm-math.org/article_41345_4dfacbb787d3f6b80379362894944074.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)Khayyam Journal of Mathematics2423-47882220160801Eisenhart Problem to Submanifolds in Non-Flat Real Space Form1881934229510.22034/kjm.2017.42295ENMundalamane Manjappa PraveenaDepartment of Mathematics, Kuvempu University, Shankaraghatta - 577 451,
Shimoga, Karnataka, India.Channabasappa Shanthappa BagewadiDepartment of Mathematics, Kuvempu University, Shankaraghatta - 577 451,
Shimoga, Karnataka, India.Journal Article20161019We 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.https://www.kjm-math.org/article_42295_b3ab5c2748d3801e75a0a1f541fa98b0.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)Khayyam Journal of Mathematics2423-47882220160801On the Sharp Bounds for a Comprehensive Class of Analytic and Univalent Functions by Means of Chebyshev Polynomials1942004370710.22034/kjm.2017.43707ENSerap BulutKocaeli University, Faculty of Aviation and Space Sciences, Arslanbey Campus, 41285 Kartepe-Kocaeli, TURKEY.0000-0002-6506-4588Nanjundan MageshP. G. and Research Department of Mathematics, Govt Arts College for
Men, Krishnagiri-635001, India.0000-0002-0764-8390Journal Article20160721In 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.https://www.kjm-math.org/article_43707_cfa9284f4673db186fa22a50fdba9663.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)Khayyam Journal of Mathematics2423-47882220160801Composition Operators on Weighted Bergman-Nevanlinna Spaces with Admissible Weights2012084383010.22034/kjm.2017.43830ENAjay K.SharmaDepartment of Mathematics, Shri Mata Vaishno Devi University, Kakryal,
Katra-182320, J&K, India.Elina SubhadarsiniDepartment of Mathematics, Shri Mata Vaishno Devi University, Kakryal,
Katra-182320, J&K, India.Journal Article20160129A 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.https://www.kjm-math.org/article_43830_04df124ffc791fd78d7a0d21a9e0582f.pdf