NEW APPROACHES FOR m-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATORS WITH STRONG KERNELS

被引：0

作者：

Ardic, Merve Avci ^{[1
]}

Onalan, Havva Kavurmaci ^{[2
]}

Akdemir, Ahmet Ocak ^{[3
]}

Nguyen, Anh Tuan ^{[4
]}

机构：

[1] Adiyaman Univ, Fac Sci & Arts, Dept Math, Adiyaman, Turkiye

[2] Van Yuzuncu Yil Univ, Fac Educ, Dept Math Educ, Van, Turkiye

[3] Agri Ibrahim Cecen Univ, Fac Sci & Letters, Dept Math, Agri, Turkiye

[4] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam

来源：

MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 03期

关键词：

m-convex functions; Atangana-Baleanu integral operators; normalization function; Euler Gamma function; GENERAL FORMS; INEQUALITIES; DERIVATIVES;

D O I：

10.18514/MMN.2023.4104

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We have established this paper on m-convex functions, which can be expressed as a general form of the convex function concept. First of all, some inequalities of Hadamard type are proved with fairly simple conditions. Next, an integral identity containing Atangana-Baleanu fractional integral operators is obtained to prove new inequalities for differentiable m -convex functions. Using this identity, various properties of m-convex functions and classical inequalities, some new integral inequalities have been proved.

引用

页码：1145 / 1160

页数：16

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