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Research Article

THE CHARACTERISTIC RELATIONS DUE TO LUPAS- KUMARPATHAN- TYPE OPERATORS

H
Hemant Kumar Department of Mathematics D.A-V. (P.G.) College Kanpur 208001 (U. P.), India
Volume 12, Issue 2 Pages 97-106 October 30, 2016 479 downloads
Article overview

Abstract

In this work, we introduce Lupas-Kumar-Pathan -type operators and then study its convergence properties by using Cauchy-Schwarz inequalities of integration and summation and Chebyshev inequality of integration. We obtain the recurrence relations and some properties of these operators. These results are then applied with a view to obtaining some characteristic relations on central moments.

Keywords and Phrases

Lupas operatorsKumar and Pathan type operatorscharacteristic results on central moments.

AMS Subject Classification

41A25, 41A30, 41A36, 33C20.

Reference information

How to Cite

Hemant Kumar (2016). THE CHARACTERISTIC RELATIONS DUE TO LUPAS- KUMARPATHAN- TYPE OPERATORS. South East Asian Journal of Mathematics and Mathematical Sciences, 12(2), 97-106.
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