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Authors: HURIYE KADAKAL.
Received 17 February 2022; Accepted 03 April 2023.
pp. 267-281
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In this paper, by using Hölder-İșcan, Hölder integral inequality and an general identity for differentiable functions we can get new estimates on generalization of Hadamard, Ostrowski and Simpson type integral inequalities for functions whose derivatives in absolute value at certain power are quasi-convex functions. It is proved that the result obtained Hölder- İșcan integral inequality is better than the result obtained Hölder inequality.
Mathematics Subject Classification (2010): 26A51, 26D10, 26D15.
Keywords: Hölder-İșcan inequality, Hermite-Hadamard inequality, Simpson and Ostrowski type inequality, midpoint and trapezoid type inequality, quasi-convex functions.
