A Note on the New Ostrowski and Hadamard Type Inequalities via the Hölder–İşcan Inequality-Reference-Cited by-同舟云学术

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

Published:2023-09-28 Issue:10 Volume:12 Page:931
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Yildiz Çetin¹^ORCID,Valdés Juan E. Nápoles²^ORCID,Cotîrlă Luminiţa-Ioana³^ORCID

Affiliation:

1. Deparment of Mathematics, K.K. Education Faculty, Atatürk University, 25240 Erzurum, Turkey

2. Facultad de Ciencias Exactas y Naturales y Agrimensura, Universidad Nacional del Nordeste, Av. Libertad 5450, Corrientes 3400, Argentina

3. Department of Mathematics, Technical University of Cluj-Napoca, 400020 Cluj-Napoca, Romania

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/10/931/pdf

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