On Strongly Convex Functions via Caputo-Fabrizio-Type Fractional Integral and Some Applications

被引：8
|
作者：
Li, Qi [1 ]
Saleem, Muhammad Shoaib [2 ]
Yan, Peiyu [1 ]
Zahoor, Muhammad Sajid [2 ]
Imran, Muhammad [2 ]
机构：
[1] Shandong Huayu Univ Technol, Basic Teaching Dept, Dezhou 253034, Shandong, Peoples R China
[2] Univ Okara, Dept Math, Okara, Pakistan
来源：
JOURNAL OF MATHEMATICS | 2021年 / 2021卷
关键词：
EXPONENTIAL KERNEL; INEQUALITIES; DERIVATIVES; HADAMARD;
D O I：
10.1155/2021/6625597
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes. The aim of this paper is to study some properties of strongly convex functions via the Caputo-Fabrizio fractional integral operator. In this paper, we present Hermite-Hadamard-type inequalities for strongly convex functions via the Caputo-Fabrizio fractional integral operator. Some new inequalities of strongly convex functions involving the Caputo-Fabrizio fractional integral operator are also presented. Moreover, we present some applications of the proposed inequalities to special means.
引用
收藏
页数：10
相关论文
共 50 条
  • [21] Hermite-Jensen-Mercer-Type Inequalities via Caputo-Fabrizio Fractional Integral for h-Convex Function
    Vivas-Cortez, Miguel
    Saleem, Muhammad Shoaib
    Sajid, Sana
    Zahoor, Muhammad Sajid
    Kashuri, Artion
    FRACTAL AND FRACTIONAL, 2021, 5 (04)
  • [22] Refinements of some fractional integral inequalities involving extended convex functions and fractional Caputo derivatives
    Imran, Muhammad
    Mubeen, Shahid
    Khan, Aziz
    Abdeljawad, Thabet
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2025, 2025 (01):
  • [23] New results on Hermite-Hadamard type inequalities via Caputo-Fabrizio fractional integral for s-convex function
    Nasir, Jamshed
    Qaisar, Shahid
    Qayyum, Ather
    Budak, Huseyin
    FILOMAT, 2023, 37 (15) : 4943 - 4957
  • [24] Some Inequalities for a New Class of Convex Functions with Applications via Local Fractional Integral
    Ge-JiLe, Hu
    Rashid, Saima
    Farooq, Fozia Bashir
    Sultana, Sobia
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [25] FRACTIONAL VERSIONS OF HADAMARD INEQUALITIES FOR STRONGLY (s, m)-CONVEX FUNCTIONS VIA CAPUTO FRACTIONAL DERIVATIVES
    Farid, Ghulam
    Bibi, Sidra
    Rathour, Laxmi
    Mishra, Lakshmi Narayan
    Mishra, Vishnu Narayan
    KOREAN JOURNAL OF MATHEMATICS, 2023, 31 (01): : 75 - 94
  • [26] Some Generalized Fractional Integral Inequalities for Convex Functions with Applications
    Zhao, Dafang
    Ali, Muhammad Aamir
    Promsakon, Chanon
    Sitthiwirattham, Thanin
    FRACTAL AND FRACTIONAL, 2022, 6 (02)
  • [27] A new fractional integral associated with the Caputo–Fabrizio fractional derivative
    M. Moumen Bekkouche
    H. Guebbai
    M. Kurulay
    S. Benmahmoud
    Rendiconti del Circolo Matematico di Palermo Series 2, 2021, 70 : 1277 - 1288
  • [28] New inequalities via Caputo-Fabrizio integral operator with applications
    Yang, Hong
    Qaisar, Shahid
    Munir, Arslan
    Naeem, Muhammad
    AIMS MATHEMATICS, 2023, 8 (08): : 19391 - 19412
  • [29] New fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator
    Tariq, Muhammad
    Ahmad, Hijaz
    Shaikh, Abdul Ghafoor
    Sahoo, Soubhagya Kumar
    Khedher, Khaled Mohamed
    Gia, Tuan Nguyen
    AIMS MATHEMATICS, 2021, 7 (03): : 3440 - 3455
  • [30] Integral inequalities for some convex functions via generalized fractional integrals
    Naila Mehreen
    Matloob Anwar
    Journal of Inequalities and Applications, 2018
12345