Inequalities for α-fractional differentiable functions

被引:0
|
作者
Yu-Ming Chu
Muhammad Adil Khan
Tahir Ali
Sever Silvestru Dragomir
机构
[1] Huzhou University,Department of Mathematics
[2] University of Peshawar,Department of Mathematics
[3] Victoria University,College of Engineering and Science
关键词
convex function; Hermite-Hadamard inequality; fractional derivative; fractional integral; special mean; trapezoidal formula; 26D15; 26A51; 26A33;
D O I
暂无
中图分类号
学科分类号
摘要
In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals. As applications, we establish some inequalities for certain special means of two positive real numbers and give the error estimations for the trapezoidal formula.
引用
收藏
相关论文
共 50 条
  • [21] Conformable fractional Newton-type inequalities with respect to differentiable convex functions
    Cihan Ünal
    Fatih Hezenci
    Hüseyin Budak
    Journal of Inequalities and Applications, 2023
  • [22] FRACTIONAL SIMPSON LIKE TYPE INEQUALITIES FOR DIFFERENTIABLE s-CONVEX FUNCTIONS
    Bouhadjar, S.
    Meftah, B.
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2023, 16 (03): : 563 - 584
  • [23] FRACTIONAL SIMPSON LIKE TYPE INEQUALITIES FOR DIFFERENTIABLE s-CONVEX FUNCTIONS
    Bouhadjar, S.
    Meftah, B.
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 16 (03): : 563 - 584
  • [24] Conformable fractional Newton-type inequalities with respect to differentiable convex functions
    uenal, Cihan
    Hezenci, Fatih
    Budak, Hueseyin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [25] FRACTIONAL TRAPEZOID AND NEWTON TYPE INEQUALITIES FOR DIFFERENTIABLE S-CONVEX FUNCTIONS
    Hezenci, Fatih
    Budak, Huseyin
    Ali, Muhammad Aamir
    HONAM MATHEMATICAL JOURNAL, 2023, 45 (01): : 160 - 183
  • [26] Fractional Integral Inequalities for Strongly h-Preinvex Functions for a kth Order Differentiable Functions
    Rashid, Saima
    Latif, Muhammad Amer
    Hammouch, Zakia
    Chu, Yu-Ming
    SYMMETRY-BASEL, 2019, 11 (12):
  • [27] FRACTIONAL MULTIPLICATIVE OSTROWSKI-TYPE INEQUALITIES FOR MULTIPLICATIVE DIFFERENTIABLE CONVEX FUNCTIONS
    Meftah, Badreddine
    Boulares, Hamid
    Khan, Aziz
    Abdeljawad, Thabet
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2024, 17 (01): : 113 - 128
  • [28] Fractional 3/8-Simpson type inequalities for differentiable convex functions
    Nasri, Nassima
    Meftah, Badreddine
    Moumen, Abdelkader
    Saber, Hicham
    AIMS MATHEMATICS, 2024, 9 (03): : 5349 - 5375
  • [29] Fractional Milne-type inequalities for twice differentiable functions for Riemann-Liouville fractional integrals
    Haider, Wali
    Budak, Huseyin
    Shehzadi, Asia
    ANALYSIS AND MATHEMATICAL PHYSICS, 2024, 14 (06)
  • [30] FRACTIONAL PERTURBATION TECHNIQUE OF FRACTIONAL DIFFERENTIABLE FUNCTIONS
    Wei, Ming-Bo
    Zeng, De-Qiang
    ROMANIAN JOURNAL OF PHYSICS, 2012, 57 (9-10): : 1278 - 1284