
handle: 20.500.12403/3039
In this paper, by using Hölder-İşcan, Hölder integral inequality and a 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-İşcan integral inequality is better than the result obtained Hölder inequality. Keywords: Hölder-İşcan scan inequality, Hermite-Hadamard inequality, Simpson and Ostrowski type inequality, midpoint and trapezoid type inequality, quasi-convex functions.
Integral-Inequalities, Hermite-Hadamard inequality, Simpson and Ostrowski type inequality, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Hölder-İşcan inequality, midpoint and trapezoid type inequality, quasi-convex functions, Convexity of real functions in one variable, generalizations
Integral-Inequalities, Hermite-Hadamard inequality, Simpson and Ostrowski type inequality, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Hölder-İşcan inequality, midpoint and trapezoid type inequality, quasi-convex functions, Convexity of real functions in one variable, generalizations
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