Some inequalities associated with the Hermite-Hadamard-Fejer type for convex function

被引：7

作者：

Sarikaya, Mehmet Zeki ^{[1
]}

Yaldiz, Hatice ^{[1
]}

Erden, Samet ^{[2
]}

机构：

[1] Duzce Univ, Fac Sci & Arts, Dept Math, Konuralp Campus, Duzce, Turkey

[2] Bartin Univ, Fac Sci, Dept Math, Bartin, Turkey

来源：

MATHEMATICAL SCIENCES | 2014年 / 8卷 / 04期

关键词：

Hermite; Hadamard; Fejer inequality; Trapezoid inequality; Convex function; Holder inequality;

D O I：

10.1007/s40096-014-0136-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we extend some estimates of the right-hand side of a Hermite- Hadamard-Fejer type inequality for functions whose first derivatives' absolute values are convex. The results presented here would provide extensions of those given in earlier works.

引用

页码：117 / 124

页数：8

共 50 条

[21] EXTENSIONS AND REFINEMENTS OF FEJER AND HERMITE-HADAMARD TYPE INEQUALITIES
Abramovich, Shoshana
Persson, Lars-Erik
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2018, 21 (03): : 759 - 772
[22] Some Hermite–Hadamard type inequalities for functions of generalized convex derivative
P. Kórus
Acta Mathematica Hungarica, 2021, 165 : 463 - 473
[23] ON HERMITE-HADAMARD TYPE INEQUALITIES FOR F-CONVEX FUNCTION
Budak, H.
Tunc, T.
Sarikaya, M. Z.
MISKOLC MATHEMATICAL NOTES, 2019, 20 (01) : 169 - 191
[24] Sherman, Hermite-Hadamard and Fejer like Inequalities for Convex Sequences and Nondecreasing Convex Functions
Niezgoda, Marek
FILOMAT, 2017, 31 (08) : 2321 - 2335
[25] Properties of GA-h-Convex Functions in Connection to the Hermite-Hadamard-Fejer-Type Inequalities
Amer Latif, Muhammad
MATHEMATICS, 2023, 11 (14)
[26] Some Refinements of Hermite-Hadamard Type Integral Inequalities Involving Refined Convex Function of the Raina Type
Tariq, Muhammad
Sahoo, Soubhagya Kumar
Ntouyas, Sotiris K. K.
AXIOMS, 2023, 12 (02)
[27] SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE CONVEX FUNCTIONS AND APPLICATIONS
Xi, Bo-Yan
Qi, Feng
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 42 (03): : 243 - 257
[28] SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR s-CONVEX FUNCTIONS
Alomari, Mohammad W.
Darus, Maslina
Kirmaci, Ugur S.
ACTA MATHEMATICA SCIENTIA, 2011, 31 (04) : 1643 - 1652
[29] On Some Inequalities of Hermite-Hadamard Type for M-Convex Functions
Eftekhari, Noha
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2014, 8 (02): : 221 - 238
[30] Some Hermite-Hadamard type inequalities for functions of generalized convex derivative
Korus, P.
ACTA MATHEMATICA HUNGARICA, 2021, 165 (2) : 463 - 473

← 1 2 3 4 5 →