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.
引用
收藏
页数：30
相关论文
共 50 条
  • [31] Differintegarator Based on Fractional Calculus of Convex Functions
    Cioc, Radoslaw
    NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS, 2019, 496 : 28 - 35
  • [32] FRACTIONAL CALCULUS AND APPLICATIONS OF FAMILY OF EXTENDED GENERALIZED GAUSS HYPERGEOMETRIC FUNCTIONS
    Chand, Mehar
    Prajapati, Jyotindra C.
    Bonyah, Ebenezer
    Bansal, Jatinder Kumar
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (03): : 539 - 560
  • [33] SOME LOCAL FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED PREINVEX FUNCTIONS AND APPLICATIONS TO NUMERICAL QUADRATURE
    Sun, Wenbing
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2019, 27 (05)
  • [34] On Some Generalized Fractional Integral Inequalities for p-Convex Functions
    Salas, Seren
    Erdas, Yeter
    Toplu, Tekin
    Set, Erhan
    FRACTAL AND FRACTIONAL, 2019, 3 (02) : 1 - 9
  • [35] Generalized Fractional Integral Inequalities for Some Classes of Symmetrized Convex Functions
    Set, Erhan
    Gozpinar, Abdurrahman
    Alan, E. Aykan
    1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018), 2018, 1991
  • [36] On Strongly Convex Functions via Caputo-Fabrizio-Type Fractional Integral and Some Applications
    Li, Qi
    Saleem, Muhammad Shoaib
    Yan, Peiyu
    Zahoor, Muhammad Sajid
    Imran, Muhammad
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [37] Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator
    Neamah, Majid K.
    Ibrahim, Alawiah
    Mehdy, Hala Shaker
    Redhwan, Saleh S.
    Abdo, Mohammed S.
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [38] Inequalities for B-convex functions via generalized fractional integral
    Yesilce, Ilknur
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019,
  • [39] SOME INEQUALITIES FOR B-1-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR
    Yesilce, I
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2019, 9 (03): : 620 - 625
  • [40] Some calculus rules, generalized convexity via convexifactors and their applications
    Kohli, Bhawna
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024,
12345