@article { author = {Magesh, Nanjundan and Balaji, V. K. and Abirami, C.}, title = {Fekete–Szegő Inequalities for Certain Subclasses of Starlike and Convex Functions of Complex Order Associated with Quasi-subordination}, journal = {Khayyam Journal of Mathematics}, volume = {2}, number = {2}, pages = {112-119}, year = {2016}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2016.34114}, abstract = { 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.}, keywords = {univalent functions,starlike of Ma-Minda type and convex of Ma-Minda type,majorization and quasi-subordination}, url = {https://www.kjm-math.org/article_34114.html}, eprint = {https://www.kjm-math.org/article_34114_8480ef6249be956f056ac10de698f621.pdf} } @article { author = {Akkurt, Abdullah and Yildirim, Hüseyin}, title = {On Some Fractional Integral Inequalities of Hermite-Hadamard Type for $r$-Preinvex Functions}, journal = {Khayyam Journal of Mathematics}, volume = {2}, number = {2}, pages = {120-127}, year = {2016}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2016.40640}, abstract = {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.}, keywords = {integral inequalities,Fractional integrals,Hermite-Hadamard inequality,preinvex functions}, url = {https://www.kjm-math.org/article_40640.html}, eprint = {https://www.kjm-math.org/article_40640_2cd4008202b92c4593e1db0a9037e1ba.pdf} } @article { author = {Asserda, Said}, title = {Bergman Kernel Estimates and Toeplitz Operators on Holomorphic Line Bundles}, journal = {Khayyam Journal of Mathematics}, volume = {2}, number = {2}, pages = {128-167}, year = {2016}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2016.41044}, abstract = {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.}, keywords = {Toeplitz operator,Bergman space,line bundle,Schatten class}, url = {https://www.kjm-math.org/article_41044.html}, eprint = {https://www.kjm-math.org/article_41044_b5937b35de5448dcc44be7f472ebe59c.pdf} } @article { author = {Lamei, Sanaz}, title = {Geodesic Flows on the Quotient of the Upper Half Plane over the Hecke Group}, journal = {Khayyam Journal of Mathematics}, volume = {2}, number = {2}, pages = {168-176}, year = {2016}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2016.41250}, abstract = {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.}, keywords = {Hecke group,geodesic flow,arithmetic coding}, url = {https://www.kjm-math.org/article_41250.html}, eprint = {https://www.kjm-math.org/article_41250_9154e7145e6560769c7f4f7801c2fa99.pdf} } @article { author = {Wang, Hongbin and Wu, Yihong}, title = {Anisotropic Herz-Morrey Spaces with Variable Exponents}, journal = {Khayyam Journal of Mathematics}, volume = {2}, number = {2}, pages = {177-187}, year = {2016}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2016.41345}, abstract = {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.}, keywords = {Anisotropic Herz-Morrey space,variable exponent,boundedness,sublinear operator}, url = {https://www.kjm-math.org/article_41345.html}, eprint = {https://www.kjm-math.org/article_41345_4dfacbb787d3f6b80379362894944074.pdf} } @article { author = {Praveena, Mundalamane Manjappa and Bagewadi, Channabasappa Shanthappa}, title = {Eisenhart Problem to Submanifolds in Non-Flat Real Space Form}, journal = {Khayyam Journal of Mathematics}, volume = {2}, number = {2}, pages = {188-193}, year = {2016}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2017.42295}, abstract = {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.}, keywords = {Real space forms,submanifolds,parallel second order covariant tensor field,recurrent}, url = {https://www.kjm-math.org/article_42295.html}, eprint = {https://www.kjm-math.org/article_42295_b3ab5c2748d3801e75a0a1f541fa98b0.pdf} } @article { author = {Bulut, Serap and Magesh, Nanjundan}, title = {On the Sharp Bounds for a Comprehensive Class of Analytic and Univalent Functions by Means of Chebyshev Polynomials}, journal = {Khayyam Journal of Mathematics}, volume = {2}, number = {2}, pages = {194-200}, year = {2016}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2017.43707}, abstract = {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.}, keywords = {Analytic functions,univalent functions,coefficient bounds,Chebyshev polynomial,Fekete-Szeg"{o} problem}, url = {https://www.kjm-math.org/article_43707.html}, eprint = {https://www.kjm-math.org/article_43707_cfa9284f4673db186fa22a50fdba9663.pdf} } @article { author = {Sharma, Ajay and Subhadarsini, Elina}, title = {Composition Operators on Weighted Bergman-Nevanlinna Spaces with Admissible Weights}, journal = {Khayyam Journal of Mathematics}, volume = {2}, number = {2}, pages = {201-208}, year = {2016}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2017.43830}, abstract = {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.}, keywords = {Composition operator,weighted Bergman Nevanlinna space,Carleson measure,vanishing Carleson measure}, url = {https://www.kjm-math.org/article_43830.html}, eprint = {https://www.kjm-math.org/article_43830_04df124ffc791fd78d7a0d21a9e0582f.pdf} }