Majorization problems for classes of analytic functions

Journal Title: Journal of Mathematics and Applications - Year 2015, Vol 38, Issue

Abstract

The main object of the present paper is to investigate problems of majorization for certain classes of analytic functions of complex order defined by an operator related to the modified Bessel functions of first kind. These results are obtained by investigating appropriate class of admissible functions.

Authors and Affiliations

J. Dziok, G. Murugusundaramoorthy, T. Janani

Keywords

Related Articles

Problem with integral condition for evolution equation

We propose a method of solving the problem with nonhomogeneous integral condition for homogeneous evolution equation with abstract operator in a linear space H. For right-hand side of the integral condition which belongs...

De la Vallée Poussin Summability, the Combinatorial Sum ∑_(k=n)^(2n-1) (2k¦k) and the de la Vallée Poussin Means Expansion

In this paper we apply the de la Vallée Poussin sum to a combinatorial Chebyshev sum by Ziad S. Ali in [1]. One outcome of this consideration is the main lemma proving the following combinatorial identity: with Re(z) sta...

Starlikeness and convexity of certain integral operators defined by convolution

We define two new general integral operators for certain analytic functions in the unit disc U and give some sufficient conditions for these integral operators on some subclasses of analytic functions.

Approximation by Szász Type Operators Including Sheffer Polynomials

In present article, we discuss voronowskaya type theorem, weighted approximation in terms of weighted modulus of continuity for Szász type operators using Sheffer polynomials. Lastly, we investigate statistical approxima...

Weak Solutions of Fractional Order Differential Equations via Volterra-Stieltjes Integral Operator

The fractional derivative of the Riemann-Liouville and Caputo types played an important role in the development of the theory of fractional derivatives, integrals and for its applications in pure mathematics ([18], [21])...

Download PDF file
  • EP ID EP342612
  • DOI 10.7862/rf.2015.4
  • Views 96
  • Downloads 0

How To Cite

J. Dziok, G. Murugusundaramoorthy, T. Janani (2015). Majorization problems for classes of analytic functions. Journal of Mathematics and Applications, 38(), 49-57. https://europub.co.uk/articles/-A-342612