A Note on the New Ostrowski and Hadamard Type Inequalities via the Hölder-İşcan Inequality

被引：1
|
作者：
Yildiz, Cetin [1 ]
Valdes, Juan E. Napoles [2 ]
Cotirla, Luminita-Ioana [3 ]
机构：
[1] Ataturk Univ, KK Educ Fac, Dept Math, TR-25240 Erzurum, Turkiye
[2] Univ Nacl Nordeste, Fac Ciencias Exactas & Nat & Agrimensura, Av Libertad 5450, RA-3400 Corrientes, Argentina
[3] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400020, Romania
来源：
AXIOMS | 2023年 / 12卷 / 10期
关键词：
exponential type convex functions; Holder Inequality; Holder-Iscan Inequality; CONVEX-FUNCTIONS; INTEGRAL-INEQUALITIES;
D O I：
10.3390/axioms12100931
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For all convex functions, the Hermite-Hadamard inequality is already well known in convex analysis. In this regard, Hermite-Hadamard and Ostrowski type inequalities were obtained using exponential type convex functions in this work. In addition, new generalizations were found for different values of theta. In conclusion, we believe that our work's technique will inspire more study in this field.
引用
收藏
页数：15
相关论文
共 50 条
  • [41] Generalizations of Ostrowski type inequalities via Hermite polynomials
    Kvesic, Ljiljanka
    Pecaric, Josip
    Penava, Mihaela Ribicic
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [42] Ostrowski type inequalities via the Katugampola fractional integrals
    Gurbuz, Mustafa
    Tasdan, Yakup
    Set, Erhan
    AIMS MATHEMATICS, 2020, 5 (01): : 42 - 53
  • [43] Fractional Ostrowski Type Inequalities via φ - λ-Convex Function
    Hassan, Ali
    Khan, Asif R.
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2024, 21 (01): : 111 - 129
  • [44] Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity
    Khan, Khuram Ali
    Awan, Khalid Mahmood
    Ditta, Allah
    Nosheen, Ammara
    Matendo, Rostin Mabela
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [45] Improvement of an extension of a Hölder-type inequalityУлучшенное обобщение одного неравенства типа Гёльдера
    Josip Pečarić
    Ksenija Smoljak
    Analysis Mathematica, 2012, 38 (2) : 135 - 146
  • [46] Some improvements of McShane and Hölder-type inequalities via superquadratic functions
    Rani, Shumaila
    Bibi, Rabia
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01):
  • [47] NEW INEQUALITIES OF HERMITE-HADAMARD AND FEJAR TYPE VIA PREINVEXITY
    Latif, M. A.
    Dragomir, S. S.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 19 (04) : 725 - 739
  • [48] On some Hölder-type inequalities with applications
    Mustapha Raïssouli
    Rabie Zine
    Journal of Inequalities and Applications, 2015
  • [49] New Hadamard Type Inequalities for Modified h-Convex Functions
    Breaz, Daniel
    Yildiz, Cetin
    Cotirla, Luminita-Ioana
    Rahman, Gauhar
    Yergoz, Busra
    FRACTAL AND FRACTIONAL, 2023, 7 (03)
  • [50] On Some New Inequalities of Hadamard Type for h-Convex Functions
    Akdemir, Ahmet Ocak
    Set, Erhan
    Ozdemir, M. Emin
    Yildiz, Cetin
    FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2012), 2012, 1470 : 35 - 38
12345