An approach to generalized (η1,η2)-convex functions via local fractional calculus and some applications

被引：0
|
作者：
Sanabria, Jose E. [1 ]
Ramos-Fernandez, Julio C. [2 ]
Sanchez, C. Rainier V. [3 ]
机构：
[1] Univ Sucre Sincelejo, Fac Educ & Ciencias, Dept Matemat, Sincelejo, Colombia
[2] Univ Distrital Francisco Jose Caldas Bogota, Fac Ciencias Matemat & Nat, Bogota, Colombia
[3] Inst Super Formac Docente Salome Urena, Recinto Luis Napoleon Nunez Molina Licey Medio, Santiago, Dominican Rep
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2024年
关键词：
(eta(1); eta(2))-convex function; fractal set; INTEGRAL-INEQUALITIES;
D O I：
10.1142/S0219887824400401
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The purpose of this paper is to study a generalization of (eta(1),eta(2))-convex functions using the local fractional calculus developed by Yang [Advanced Local Fractional Calculus and its Applications (World Science Publisher, New York, 2012)], namely generalized (eta(1),eta(2))-convex functions. Among other results, we obtain some Fej & eacute;r-type inequalities for this class of functions. As applications, we present some inequalities with generalized probability density functions and generalized special means.
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页数：30
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