The Journal of the Indian Mathematical Society

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Convexity and Generalized Convexity of Composite Functions


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1 North Orissa University, Baripada-757 003, Orissa, India
     

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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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  • Convexity and Generalized Convexity of Composite Functions

Abstract Views: 232  |  PDF Views: 0

Authors

Sudarsan Nanda
North Orissa University, Baripada-757 003, Orissa, India

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.