2021-01-23T11:04:54Z
http://www.kjm-math.org/?_action=export&rf=summon&issue=5133
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
2
Fekete–Szegő Inequalities for Certain Subclasses of Starlike and Convex Functions of Complex Order Associated with Quasi-subordination
Nanjundan
Magesh
V. K.
Balaji
C.
Abirami
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
2016
08
01
112
119
http://www.kjm-math.org/article_34114_8480ef6249be956f056ac10de698f621.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
2
On Some Fractional Integral Inequalities of Hermite-Hadamard Type for $r$-Preinvex Functions
Abdullah
Akkurt
Hüseyin
Yildirim
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
2016
08
01
120
127
http://www.kjm-math.org/article_40640_2cd4008202b92c4593e1db0a9037e1ba.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
2
Bergman Kernel Estimates and Toeplitz Operators on Holomorphic Line Bundles
Said
Asserda
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
2016
08
01
128
167
http://www.kjm-math.org/article_41044_b5937b35de5448dcc44be7f472ebe59c.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
2
Geodesic Flows on the Quotient of the Upper Half Plane over the Hecke Group
Sanaz
Lamei
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
2016
08
01
168
176
http://www.kjm-math.org/article_41250_9154e7145e6560769c7f4f7801c2fa99.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
2
Anisotropic Herz-Morrey Spaces with Variable Exponents
Hongbin
Wang
Yihong
Wu
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
2016
08
01
177
187
http://www.kjm-math.org/article_41345_4dfacbb787d3f6b80379362894944074.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
2
Eisenhart Problem to Submanifolds in Non-Flat Real Space Form
Mundalamane Manjappa
Praveena
Channabasappa Shanthappa
Bagewadi
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
2016
08
01
188
193
http://www.kjm-math.org/article_42295_b3ab5c2748d3801e75a0a1f541fa98b0.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
2
On the Sharp Bounds for a Comprehensive Class of Analytic and Univalent Functions by Means of Chebyshev Polynomials
Serap
Bulut
Nanjundan
Magesh
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
2016
08
01
194
200
http://www.kjm-math.org/article_43707_cfa9284f4673db186fa22a50fdba9663.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
2
Composition Operators on Weighted Bergman-Nevanlinna Spaces with Admissible Weights
Ajay
Sharma
Elina
Subhadarsini
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
2016
08
01
201
208
http://www.kjm-math.org/article_43830_04df124ffc791fd78d7a0d21a9e0582f.pdf