New Trapezoid Type Inequalities for Generalized Exponentially Strongly Convex Functions

Kuang Jichang ()
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Kuang Jichang: Hunan Normal University, Department of Mathematics

A chapter in Approximation Theory and Analytic Inequalities, 2021, pp 273-308 from Springer

Abstract: Abstract By using a new general identity and introducing some very general new notions of generalized exponentially strongly convex functions, new trapezoid type inequalities are established. We apply these inequalities to provide approximations for the integral of a real valued function. Approximations for some new weighted means of two positive numbers are also obtained.

Keywords: Generalized exponentially strongly convex function; Integral inequality; Approximation; 26D15; 26A51 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-60622-0_15

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DOI: 10.1007/978-3-030-60622-0_15

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