SOME INEQUALITIES FOR RECIPROCALLY (s, m)-CONVEX IN THE SECOND SENSE FUNCTIONS AND APPLICATIONS TO SPECIAL MEANS

被引:1
作者
Bracamonte, Mireya R. [1 ]
Medina-Viloria, Jesus [2 ]
Vivas-Cortez, Miguel [3 ]
机构
[1] ESPOL Polytech Univ, Escuela Super Politecn Litoral ESPOL, Fac Ciencias Nat & Matemat, Campus Gustavo Galindo Km 30-5 Via Perimetral, Guayaquil, Ecuador
[2] Univ Centroccident Lisandro Alvarado, Dept Matemat, Barquisimeto, Venezuela
[3] Pontificia Univ Catolica Ecuador, Fac Ciencias Exactas & Nat, Escuela Ciencias Fis & Matemat, Av 12 Octubre 1076, Quito, Ecuador
来源
JOURNAL OF MATHEMATICAL INEQUALITIES | 2020年 / 14卷 / 02期
关键词
Harmonically convex functions; classics inequalities; special means; HERMITE-HADAMARD TYPE; CONVEX-FUNCTIONS; RECTANGLE;
D O I
10.7153/jmi-2020-14-31
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present the notion of reciprocally (s, m)-convex functions and present some examples and properties of them. We derive some inequalities for this new class of functions, specifically these inequalities are: Hermite-Hadamard and Fejer. In addition, we present some applications of our results to special media of positive real numbers.
引用
收藏
页码:483 / 500
页数:18
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