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7: Paper Source PDF document

Paper's Title:

An Efficient Modification of Differential Transform Method for Solving Integral and Integro-differential Equations

Author(s):

S. Al-Ahmad, Ibrahim Mohammed Sulaiman*, and M. Mamat

Faculty of Informatics and Computing,
Universiti Sultan Zainal Abidin,
Terengganu, Besut Campus, 22200,
Malaysia.
E-mail: Alahmad.shadi@yahoo.com, *sulaimanib@unisza.edu.my, must@unisza.edu.my
 

Abstract:

In this paper, classes of integral and integro-differential equations are solved using a modified differential transform method. This proposed technique is based on differential transform method (DTM), Laplace transform (LT) procedure and Pad\'{e} approximants (PA). The proposed method which gives a good approximation for the true solution in a large region is referred to modified differential transform method (MDTM). An algorithm was developed to illustrate the flow of the proposed method. Some numerical problems are presented to check the applicability of the proposed scheme and the obtained results from the computations are compared with other existing methods to illustrates its efficiency. Numerical results have shown that the proposed MDTM method is promising compared to other existing methods for solving integral and integro-differential equations.



3: Paper Source PDF document

Paper's Title:

SEVERAL q-INTEGRAL INEQUALITIES

Author(s):

W. T. Sulaiman

Department of Computer Engineering,
College of Engineering,
University of Mosul,
Iraq
.

 
waadsulaiman@hotmail.com
 

Abstract:

In the present paper several q-integral inequalities are presented, some of them are new and others are generalizations of known results.



3: Paper Source PDF document

Paper's Title:

Turan Type Inequalities for Some Special Functions

Author(s):

W. T. Sulaiman

Department of Computer Engineering,
College of Engineering,
University of Mosul,
Iraq

waadsulaiman@hotmail.com

 

Abstract:

In this paper new results concerning the q-polygamma and q-zeta functions are presented. Other generealizations of some known results are also obtained.



2: Paper Source PDF document

Paper's Title:

General Extension of Hardy-Hilbert's Inequality (I)

Author(s):

W. T. Sulaiman

College of Computer Science and Mathematics, University of Mosul,
Iraq.
waadsulaiman@hotmail.com


Abstract:

A generalization for Hardy-Hilbert's inequality that extends the recent results of Yang and Debnath [6], is given.



2: Paper Source PDF document

Paper's Title:

Ostrowski Type Inequalities for Lebesgue Integral: a Survey of Recent Results

Author(s):

Sever S. Dragomir1,2

1Mathematics, School of Engineering & Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
E-mail: sever.dragomir@vu.edu.au

 
2DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa
URL: http://rgmia.org/dragomir 

Abstract:

The main aim of this survey is to present recent results concerning Ostrowski type inequalities for the Lebesgue integral of various classes of complex and real-valued functions. The survey is intended for use by both researchers in various fields of Classical and Modern Analysis and Mathematical Inequalities and their Applications, domains which have grown exponentially in the last decade, as well as by postgraduate students and scientists applying inequalities in their specific areas.



1: Paper Source PDF document

Paper's Title:

Generalizations of two theorems on absolute summability methods

Author(s):

H.S. ÷zarslan and H.N. ÷ğdŁk

Department of Mathematics,
Erciyes University, 38039 Kayseri,
Turkey
seyhan@erciyes.edu.tr
nogduk@erciyes.edu.tr
URL: http://fef.erciyes.edu.tr/math/hikmet.htm
 


 

Abstract:

In this paper two theorems on summability methods, which generalize two theorems of Bor on summability methods, have been proved.



1: Paper Source PDF document

Paper's Title:

Some Generalizations of Steffensen's Inequality

Author(s):

W. T. Sulaiman

College of Computer Science and Mathematics
University of Mosul , Iraq

Abstract:

Some generalization of Steffensen's inequalities are given.


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