首页|Ostrowski's Type Inequalities for Generalized(h,m)-Preinvex Functions with Its Applications

Ostrowski's Type Inequalities for Generalized(h,m)-Preinvex Functions with Its Applications

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A new concept generalized(h,m)-preinvex function on Yang's fractal sets is proposed.Some Ostrowski's type inequalities with two parameters for generalized(h,m)-preinvex function are established,where three local fractional inequalities involving generalized midpoint type,trapezoid type and Simpson type are 4erived as consequences.Furthermore,as some applications,special means inequalities and numerical quadratures for local fractional integrals are discussed.

Generalized(h,m)-preinvex functionHermite-Hadamard inequalityOs-trowski inequalitySimpson inequality

LI Ran、LIAN Tie-yan

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School of Mathematics and Data Science,Shaanxi University of Science & Technology,Xi'an 710021,China

National Natural Science Foundation of ChinaNatural Science Foundation of Shaanxi Province

118013422023-JC-YB-043

2024

数学季刊(英文版)
河南大学

数学季刊(英文版)

影响因子:0.201
ISSN:1002-0462
年,卷(期):2024.39(3)