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

页数：15

共 50 条

[31] BF - Ostrowski Type Inequalities via φ - λ-convex functions
Hassan, Ali
Khan, Asif Raza
Mehmood, Faraz
Khan, Maria
INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND NETWORK SECURITY, 2021, 21 (10): : 177 - 183
[32] New weighted Ostrowski and Cebysev type inequalities
Ahmad, Farooq
Barnett, N. S.
Dragomir, S. S.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : E1408 - E1412
[33] NEW OSTROWSKI TYPE INEQUALITY FOR TRIPLE INTEGRALS
Pachpatte, B. G.
TAMKANG JOURNAL OF MATHEMATICS, 2007, 38 (03): : 253 - 259
[34] New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals
Demir, Senol
Maden, Selahattin
GAZI UNIVERSITY JOURNAL OF SCIENCE, 2023, 36 (03): : 1311 - 1324
[35] EXPONENTIAL POMPEIU'S TYPE INEQUALITIES WITH APPLICATIONS TO OSTROWSKI'S INEQUALITY
Dragomir, S. S.
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2015, 84 (01): : 39 - 50
[36] A NEW OSTROWSKI-GRUSS TYPE INEQUALITY
Miao, Yu
Han, Fei
Mu, Jianyong
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2013, 37 (02): : 307 - 317
[37] A NEW OSTROWSKI TYPE INEQUALITY ON TIME SCALES
Xu, Gaopeng
Fang, Zhong Bo
JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (03): : 751 - 760
[38] On Ostrowski-type inequalities via Fink identity
Khan, Asif R.
Nabi, Hira
Pecaric, Josip E.
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (06)
[39] Generalizations of Ostrowski type inequalities via Hermite polynomials
Ljiljanka Kvesić
Josip Pečarić
Mihaela Ribičić Penava
Journal of Inequalities and Applications, 2020
[40] Fuzzy Ostrowski type inequalities via φ-λ-convex functions
Hassan, Ali
Khan, Asif Raza
Mehmood, Faraz
Khan, Maria
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 28 (03): : 224 - 235

← 1 2 3 4 5 →