On The Generalized Inequalities Of The Hermite - Hadamard Type

被引:14
作者
Napoles Valdes, Juan E. [1 ,2 ]
Bayraktar, Bahtiyar [3 ]
机构
[1] UNNE, FaCENA, Ave Libertad 5450, RA-3400 Corrientes, Argentina
[2] UTN FRRE, French 414, RA-3500 Resistencia, Chaco, Argentina
[3] Bursa Uludag Univ, Fac Educ, Gorukle Campus, TR-16059 Bursa, Turkey
关键词
Generalized integral operator; Hermite-Hadamard inequality; Holder inequality; power mean inequality; h-convex function; CONVEX-FUNCTIONS;
D O I
10.2298/FIL2114917N
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish new Hermite-Hadamard inequalities for h-convex functions, with in the framework of a previously defined generalized integral. The results obtained, generalize or complete, several reported in the literature. Some final remarks show the strength and scope of our results.
引用
收藏
页码:4917 / 4924
页数:8
相关论文
共 20 条
[1]   A superadditive property of Hadamard's gamma function [J].
Alzer, Horst .
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2009, 79 (01) :11-23
[2]   Properties of h-convex functions related to the Hermite-Hadamard-Fejer inequalities [J].
Bombardelli, Mea ;
Varosanec, Sanja .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (09) :1869-1877
[3]  
Breckner W. W., 1978, PUBL I MATH, V23, P13
[4]  
Daz R., 2007, DIVULGACIONES MATEMA, V15, P179
[5]   A MAPPING ASSOCIATED TO h-CONVEX VERSION OF THE HERMITE-HADAMARD INEQUALITY WITH APPLICATIONS [J].
Delavar, M. Rostamian ;
De La Sen, M. .
JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (02) :329-335
[6]  
Dragomir S. S., 1999, Demonstr. Math, V32, P687, DOI [DOI 10.1515/dema-1999-0403, 10.1515/dema-1999-0403]
[7]   Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula [J].
Dragomir, SS ;
Agarwal, RP .
APPLIED MATHEMATICS LETTERS, 1998, 11 (05) :91-95
[8]  
Gorenflo R., 1997, FRACTIONAL CALCULUS, P223, DOI DOI 10.1007/978-3-7091-2664-6_5
[9]   On a New Generalized Integral Operator and Certain Operating Properties [J].
Guzman, Paulo M. ;
Lugo, Luciano M. ;
Napoles Valdes, Juan E. ;
Vivas-Cortez, Miguel .
AXIOMS, 2020, 9 (02) :1-14
[10]  
Mubeen S., 2012, Int. J. Contemp. Math. Sci, V7, P89