INEQUALITIES OF THE 3/8-SIMPSON TYPE FOR DIFFERENTIABLE FUNCTIONS VIA GENERALIZED FRACTIONAL OPERATORS

被引：0

作者：

Bayraktar, B. ^{[1
]}

Gomez, L. ^{[2
]}

Napoles, J. E. ^{[3
]}

机构：

[1] Bursa Uludag Univ, Fac Educ, Gorukle Campus, TR-16059 Bursa, Turkiye

[2] UNNE ACENA, Av Libertad 5450, RA-3400 Corrientes, Argentina

[3] Argentina UTN FRRE, UNNE FaCENA, Av Libertad 5450,Corrientes 3400,French 414, RA-3500 Resistencia, Chaco, Argentina

来源：

PROBLEMY ANALIZA-ISSUES OF ANALYSIS | 2025年 / 14卷 / 02期

关键词：

convex function; (h; m)<acute accent>convex function; Simpson-type inequality; weighted integral operator; Holder inequality; Power mean inequality; Young inequality; Lipschitz function; SIMPSON-LIKE INEQUALITIES; INTEGRAL-INEQUALITIES; CONVEX-FUNCTIONS; S-CONVEX; DERIVATIVES;

D O I：

10.15393/j3.art.2025.17330

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Simpson-type inequalities are an important tool in mathematical analysis, particularly in the study of integrals. In this paper, we present new generalized 3/8-Simpson-type inequalities for functions whose first derivative modulus is (h, m)-convex and satisfies the Lipschitz condition via weight integral operators. To obtain these results, we use a new integral identity established in our study. This research generalizes, extends, and complements the results in the literature.

引用

页码：25 / 52

页数：28

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