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

Authors :
Yildiz, Çetin
Valdés, Juan E. Nápoles
Cotîrlă, Luminiţa-Ioana
Source :
Axioms (2075-1680); Oct2023, Vol. 12 Issue 10, p931, 15p
Publication Year :
2023

Abstract

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 θ. In conclusion, we believe that our work's technique will inspire more study in this field. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
CONVEX functions
GENERALIZATION

Details

Language :
English
ISSN :
20751680
Volume :
12
Issue :
10
Database :
Complementary Index
Journal :
Axioms (2075-1680)
Publication Type :
Academic Journal
Accession number :
173268667
Full Text :
https://doi.org/10.3390/axioms12100931