Paper's Title:

Approximately Dual p-Approximate Schauder Frames

Author(s):

K. Mahesh Krishna and P. Sam Johnson

Stat-Math Unit, Indian Statistical Institute, Bangalore Centre,
Karnataka 560 059
India.

Department of Mathematical and Computational Sciences,
National Institute of Technology Karnataka (NITK),
Surathkal, Mangaluru 575 025,
India.

E-mail: kmaheshak@gmail.com sam@nitk.edu.in
 

Abstract:

Approximately dual frame in Hilbert spaces was introduced by Christensen and Laugesen to overcome difficulties in constructing dual frames for a given Hilbert space frame. It becomes even more difficult in Banach spaces to construct duals. For this purpose, we introduce approximately dual frames for a class of approximate Schauder frames for Banach spaces and develop basic theory. Approximate dual for this subclass is completely characterized and its perturbation is also studied.

Paper's Title:

p-valent Meromorphic Functions Involving Hypergeometric and Koebe Functions by Using Differential Operator

Author(s):

S. Najafzadeh, S. R. Kulkarni and G. Murugusundaramoorthy

Department of Mathematics,
Fergusson College, Pune University,
Pune - 411004,
India.
Najafzadeh1234@yahoo.ie
kulkarni_ferg@yahoo.com

Abstract:

New classes of multivalent meromorphic functions involving hypergeometric and Koebe functions are introduced,we find some properties of these classes e.g. distortion bounds, radii of starlikeness and convexity, extreme points, Hadamard product and verify effect of some integral operator on members of these classes.

Paper's Title:

On a Subclass of Uniformly Convex Functions Defined by the Dziok-Srivastava Operator

Author(s):

M. K. Aouf and G. Murugusundaramoorthy

Mathematics Department, Faculty of Science,
Mansoura University 35516,
Egypt.
mkaouf127@yahoo.com

School of Science and Humanities, VIT University
Vellore - 632014,
India.
gmsmoorthy@yahoo.com

Abstract:

Making use of the Dziok-Srivastava operator, we define a new subclass T^l_m([α₁];α,β) of uniformly convex function with negative coefficients. In this paper, we obtain coefficient estimates, distortion theorems, locate extreme points and obtain radii of close-to-convexity, starlikeness and convexity for functions belonging to the class T^l_m([α₁];α,β) . We consider integral operators associated with functions belonging to the class H^l_m([α₁];α,β) defined via the Dziok-Srivastava operator. We also obtain several results for the modified Hadamard products of functions belonging to the class T^l_m([α₁];α,β) and we obtain properties associated with generalized fractional calculus operators.

Paper's Title:

Certain Inequalities for P_Valent Meromorphic Functions with Alternating Coefficients Based on Integral Operator

Author(s):

A. Ebadian, S. Shams and Sh. Najafzadeh

Department of Mathematics, Faculty of Science
Urmia University, Urmia,
Iran
a.ebadian@mail.urmia.ac.ir
sa40shams@yahoo.com

Department of Mathematics, Faculty of Science
Maragheh University, Maragheh,
Iran
Shnajafzadeh@yahoo.com

Abstract:

In this paper we introduce the class of functions regular and  multivalent in the and satisfying

Paper's Title:

On a Class of Uniformly Convex Functions Defined by Convolution with Fixed Coefficient

Author(s):

T. N. Shanmugam, S. Sivasubramanian, and G. Murugusundaramoorthy

Department of Mathematics,
College of Engineering,
Anna University,
Chennai - 600 025,
India.
 drtns2001@yahoo.com

 Department of Mathematics,
University College of Engineering,
Tindivanam
Anna University-Chennai,
Saram-604 703,
India.
sivasaisastha@rediffmail.com

 School of Sciences and Humanities,
VIT University, Vellore-632 014,
India.
gmsmoorthy@yahoo.com

Abstract:

We define a new subclass of uniformly convex functions with negative and fixed second coefficients defined by convolution. The main object of this paper is to obtain coefficient estimates distortion bounds, closure theorems and extreme points for functions belong to this new class . The results are generalized to families with fixed finitely many coefficients.

Paper's Title:

Properties of Certain Multivalent Functions Involving Ruscheweyh Derivatives

Author(s):

N-Eng Xu and Ding-Gong Yang

Department of Mathematics,
Changshu Institute of Technology,
Changshu, Jiangsu 215500,
China

xun@cslg.edu.cn
 

Abstract:

Let A_p(p∈ N) be the class of functions which are analytic in the unit disk. By virtue of the Ruscheweyh derivatives we introduce the new subclasses C_p(n,α,β,λ,μ) of A_p. Subordination relations, inclusion relations, convolution properties and a sharp coefficient estimate are obtained. We also give a sufficient condition for a function to be in C_p(n,α,β,λ,μ)

Paper's Title:

Solving Two Point Boundary Value Problems by Modified Sumudu Transform Homotopy Perturbation Method

Author(s):

Asem AL Nemrat and Zarita Zainuddin

School of Mathematical Sciences,
Universiti Sains Malaysia,
11800 Penang,
Malaysia.
E-mail: alnemrata@yahoo.com
zarita@usm.my

Abstract:

This paper considers a combined form of the Sumudu transform with the modified homotopy perturbation method (MHPM) to find approximate and analytical solutions for nonlinear two point boundary value problems. This method is called the modified Sumudu transform homotopy perturbation method (MSTHPM). The suggested technique avoids the round-off errors and finds the solution without any restrictive assumptions or discretization. We will introduce an appropriate initial approximation and furthermore, the residual error will be canceled in some points of the interval (RECP). Only a first order approximation of MSTHPM will be required, as compared to STHPM, which needs more iterations for the same cases of study. After comparing figures between approximate, MSTHPM, STHPM and numerical solutions, it is found through the solutions we have obtained that they are highly accurate, indicating that the MSTHPM is very effective, simple and can be used to solve other types of nonlinear boundary value problems (BVPs).

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