The Journal of the Indian Mathematical Society

Sudarsan Nanda ¹

Affiliations
1 Department of Mathematics, Regional Engineering College, Rourkela 769008 (Orissa), IN

Abstract

LET X AND Y BE two nonempty subsets of the space S of complex sequences. Let A = (a_nk), {n, k=1, 2, … ) be an infinite matrix of complex numbers.

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Sudarsan Nanda ¹

Affiliations
1 Department of Mathematics, IIT Kharagpur, Kharagpur-721 302, IN

Abstract

Almost convergence for sequences of real or complex numbers was discussed by Lorentz, Acta Math. (1948) and almost convergence in Banach space was studied by Kurtz, Tohoku Math. J. (1972). The purpose of this paper is to introduce and study the concepts of almost continuous mappings, almost compact sets and almost compact operators in Banach spaces.

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Sudarsan Nanda ¹

Affiliations
1 North Orissa University, Baripada-757 003, Orissa, IN

Abstract

The purpose of this paper is to discuss the concept of convexity of a function with respect to another function. Several concepts of convexity and generalized convexity existing in the literature appear as special cases.

Keywords

Convexity, Logarithmic Convex, Harmonic Convex, Invex, Pre-Invex, Composite Function.

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