New Generalized Convexity and Their Applications

Jichang Kuang
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Jichang Kuang: Hunan Normal University

A chapter in Approximation and Computation in Science and Engineering, 2022, pp 509-541 from Springer

Abstract: Abstract In this chapter, we introduce some very general new notions of Kg strongly convex functional in normed linear spaces. As their applications, new generalized Ostrowski type and perturbed Simpson type inequalities are established. We apply these inequalities to provide approximations for the integral of a real valued function.

Keywords: Convexity; Ostrowski inequality; Simpson inequality; Approximation; 26D15; 26A51 (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-84122-5_27

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DOI: 10.1007/978-3-030-84122-5_27

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