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Category: Issue 3

On |N,pn; |k Summability of orthogonal series

SATISH CHANDRA1 and MONIKA VARSHNEY2
1Department of Mathematics SM PG College Chandausi India

2Department of Computer Science The LNM Institute of Information TechnologyJaipur India

Email:-varsmonika92@gmail.com

ABSTRACT:

In this paper we have proved a theorem on |N,pn; |k summability
of orthogonal series, which generalizes various known results.
However, our theorem is as follows:-
Theorem : Let 1  k  2, and 0k<1. If {pn} be a positive nonincreasing
sequence such thatthe orthogonal series  nan n (x) is summable |N,pn;|k almost
everywhere1-4.

KEYWORDS: |N,pn; |k summability, orthogonal series. 2000 Mathematics subject classification : 40D05, 40E05, 40F05, 40G05, 42C05 and 42C10.


In this paper we have proved a theorem on |N,pn; |k summability of orthogonal series, which generalizes various known results. However, our theorem is as follows:- Theorem : Let...

Simultaneous triple integral equations involving fox’s H-functions

P.K. MATHUR1 and ANJANA SINGH2
1Department of Mathematics saifia Science College Bhoapl India

2Department of mathematicsRajeev Gandhi Engineering College Salaiya Kolar Bhoapl India

ABSTRACT:

The formal solution of certain simultaneous triple integral equations involving Fox’s H-functions is obtained by the method of fractional integration. By the application of fractional integration operators, the given simultaneous triple integral equations are transformed into three others with a common kernel and the problem then reduced to that of solving one integral equation.

KEYWORDS: 45-XX Integral Equations, 45F10 Simultaneous Triple Integral Equations, 33C60 Fox’ H function, 45 H05 (Special kernels) unsymmetrical Fourier kernel, 33C XX Hypergeometric Function, 44A15 Special Transforms (Mellin), 26A33 Fractional derivatives and Integrals, 44A20 Transforms of special functions, 45E99 Suitable contour Barnes type.


The formal solution of certain simultaneous triple integral equations involving Fox’s H-functions is obtained by the method of fractional integration. By the application of fractional integration operators, the given simultaneous triple integral...

Construction of symmetric weighing matrix of weight 4

NARENDRA PRASAD1 and DIPSHKHA BHATTACHARYA2
1,2Department of Mathematics Ramgarh College Jharkhand India

ABSTRACT:

The aim of this paper is to construct the symmetric weighing matrix W of weight 4 with the help of (0,1,-1) matrix M satisfying M2 = 4M.

KEYWORDS: symmetric weighing matrix


The aim of this paper is to construct the symmetric weighing matrix W of weight 4 with the help of (0,1,-1) matrix M satisfying M2 = 4M.