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Lower and Upper Bounds for ‘Useful’ Jensen Functional Convexity

Year: 2022

Type: article

Abstract: In the present paper, we will study the class of convex functions and emphasized certain basic conclusions related to the Jensen functional and its behavior in the setting of the convex function due to the scarcity of literature on the subject. The Jensen functional has been studied under a variety of assumptions, including strong convexity, quasiconvexity, and convexity, quasiconvexity. We present some new improvements on lower and upper bounds for the ‘useful’ Jensen functional in this paper. To explain the idea of a strongly convex function, we utilize a combination of old and recent results.

Source: International Journal of Innovative Analyses and Emerging Technology

Authors: Dwivedi, Pankaj Prasad, Sharma, Dilip Kumar

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7215420347

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