SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

被引：0

作者：

Bayraktar, B. ^{[1
]}

机构：

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

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2020年 / 10卷 / 03期

关键词：

convex function; (s; m); convex; Hermite-Hadamard inequalitiy; Riemann-Liouville fractional integral; power mean inequalitiy; Holder inequality; FEJER TYPE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present new inequalities connected with fractional integrals for twice differentiable functions derivatives which are (s, m) convex functions. To obtain this, integral inequalities were used classical inequalities as Holder inequalitiy and power mean inequality.This results are related to the well-known integral inequality of the Hermite-Hadamard type. Also some applications to special means are provided.

引用

页码：625 / 637

页数：13

共 18 条

[1]

Breckner W. W., 1978, PUBL I MATH, V23, P13

[2]

Ciurdariu L., 2017, RGMIA RES REPORT COL, P20

[3]

Dragomir S. S., 2000, RGMIA MONOGRAPHS, P351

[4]

Dragomir SS, 2017, RGMIA RES REP COLL, V20

[5]

Erdem Y., 2017, New Trends Math. Sci., V5, P154

[6] New general integral inequalities for quasi-geometrically convex functions via fractional integrals [J].

Iscan, Imdat .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[7]

Matloka M, 2017, RGMIA RES REP COLLEC, V20

[8] Integral inequalities for some convex functions via generalized fractional integrals [J].

Mehreen, Naila ;

Anwar, Matloob .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,

[9]

Mihai MV, 2014, ACTA MATH UNIV COMEN, V83, P209

[10]

Ozdemir ME., 2016, Turkish J. Sci, V1, P28

← 1 2 →