THE $\int \Gamma^{3\lambda \textit{I}}$ STATISTICAL CONVERGENCE OF REAL NUMBERS OVER MUSIELAK $p$-METRIC SPACE DEFINED BY ORLICZ FUNCTION

N. Rajagopal, N. Subramanian, P. Thirunavukkarasu, R. Srikanth

IJPAM: Volume 118, No. 3 (2018)

Title

THE $\int \Gamma^{3\lambda \textit{I}}$ STATISTICAL CONVERGENCE OF REAL
NUMBERS OVER MUSIELAK

-METRIC SPACE
DEFINED BY ORLICZ FUNCTION

Authors

N. Rajagopal

, N. Subramanian

,
P. Thirunavukkarasu

, R. Srikanth

$^{1,2}$ Department of Mathematics
SASTRA Deemed to be University
Thanjavur, 613 401, INDIA

P.G. and Research Department of Mathematics
Periyar E.V.R. College (Autonomous)
Tiruchirappalli, 620 023, INDIA
$^{4}$ Tata realty-SASTRA
Ramunujan research chair for Mathematics
Thanjavur, 613 401, INDIA

Abstract

In this paper, we introduce the concepts of $\Gamma^{3\lambda I}$ statistical convergence and strongly $\Gamma^{3\lambda I}$ of real numbers. It is also shown that $\Gamma^{3\lambda I}$ statistical convergence and strongly $\Gamma^{3\lambda I}$ are equivalent for analytic sequences of real numbers defined by Orlicz function.

History

Received: 2017-11-13
Revised: 2018-04-17
Published: April 18, 2018

AMS Classification, Key Words

AMS Subject Classification: 40A05, 40C05, 46A45, 03E72
Key Words and Phrases: analytic sequence, triple sequences, entire sequence, Musielak-Orlicz function, metric space, ideal, ideal convergent, fuzzy number, de la Vallee-Poussin mean, statistical convergence

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How to Cite?

DOI: 10.12732/ijpam.v118i3.25 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 118
Issue: 3
Pages: 801 - 817

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