Exploring Quantum Simpson-Type Inequalities for Convex Functions: A Novel Investigation

被引:2
作者
Iftikhar, Sabah [1 ]
Awan, Muhammad Uzair [2 ]
Budak, Hueseyin [3 ]
机构
[1] Xiamen Univ Malaysia, Dept Math, Sepang 43900, Malaysia
[2] Govt Coll Univ, Dept Math, Faisalabad 38000, Pakistan
[3] Duzce Univ, Fac Sci & Arts, Dept Math, TR-81620 Duzce, Turkiye
来源
SYMMETRY-BASEL | 2023年 / 15卷 / 07期
关键词
Simpson's integral inequality; convex functions; quantum calculus; integral inequalities;
D O I
10.3390/sym15071312
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This study seeks to derive novel quantum variations of Simpson's inequality by primarily utilizing the convexity characteristics of functions. Additionally, the study examines the credibility of the obtained results through the presentation of relevant numerical examples and graphs.
引用
收藏
页数:12
相关论文
共 50 条
  • [31] SEVERAL NEW INTEGRAL INEQUALITIES OF THE SIMPSON TYPE FOR (α, s, m)-CONVEX FUNCTIONS
    Yin, Hong-Ping
    Liu, Xi-Min
    Wang, Jing-Yu
    Qi, Feng
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (05): : 2896 - 2905
  • [32] Simpson's Second Type Integral Inequalities for Twice Differentiable Convex Functions
    Iftikhar, Sabah
    Uche, Ugochukwu David
    [J]. THAI JOURNAL OF MATHEMATICS, 2021, 19 (03): : 766 - 783
  • [33] QUANTUM INTEGRAL INEQUALITIES FOR CONVEX FUNCTIONS
    Sudsutad, Weerawat
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (03): : 781 - 793
  • [34] Estimation-type results on the k-fractional Simpson-type integral inequalities and applications
    Nie, Jialu
    Liu, Jun
    Zhang, Jiafeng
    Du, Tingsong
    [J]. JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2019, 13 (01): : 932 - 940
  • [35] Hermite-Hadamard-type inequalities for strongly (α, m)-convex functions via quantum calculus
    Mishra, Shashi Kant
    Sharma, Ravina
    Bisht, Jaya
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (05) : 4971 - 4994
  • [36] Simpson Type Integral Inequalities for Convex Functions via Riemann-Liouville Integrals
    Set, Erhan
    Akdemir, Ahmet Ocak
    Ozdemir, M. Emin
    [J]. FILOMAT, 2017, 31 (14) : 4415 - 4420
  • [37] SOME SIMPSON TYPE INTEGRAL INEQUALITIES FOR s-GEOMETRICALLY CONVEX FUNCTIONS WITH APPLICATIONS
    Kavurmaci-Onalan, Havva
    Tunc, Mevlut
    [J]. MATEMATICHE, 2014, 69 (02): : 193 - 204
  • [38] Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions
    Ozcan, Serap
    [J]. DEMONSTRATIO MATHEMATICA, 2025, 58 (01)
  • [39] On Fractal-Fractional Simpson-Type Inequalities: New Insights and Refinements of Classical Results
    Alsharari, Fahad
    Fakhfakh, Raouf
    Lakhdari, Abdelghani
    [J]. MATHEMATICS, 2024, 12 (24)
  • [40] Several Quantum Hermite-Hadamard-Type Integral Inequalities for Convex Functions
    Ciurdariu, Loredana
    Grecu, Eugenia
    [J]. FRACTAL AND FRACTIONAL, 2023, 7 (06)