Article ID: MTJPAM-D-23-00039

Title: New Ostrowski type inequalities for (α, β) convex functions

Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-23-00039; Volume 6 / Issue 1 / Year 2024, Pages 28-35

Document Type: Research Paper

Author(s): Kuang Jichang ^a

^aDepartment of Mathematics, Hunan Normal University, Changsha, Hunan, 410081, P. R. China

Received: 11 November 2023, Accepted: 29 January 2024, Published: 30 March 2024

Corresponding Author: Kuang Jichang (Email address: jckuang@163.com)

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Abstract

We introduce (α, β) convex functions, which unify and generalize three classes of s-convex functions, and hypergeometric function which two parameters, which generalize classical hypergeometric functions. Some new Ostrowski type inequalities for (α, β) convex functions are established.

Keywords: (α, β) convex function, integral inequality, approximation

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