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Article detail · 2025

Hermite-Hadamard type inequalities for new class h-convex mappings utilizing weighted generalized fractional integrals

Mathematica Slovaca

YÖKSİS OpenAlex SJR Q2 JCR Q2 Citations 2 Top 10% Percentile 93.1% FWCI 3.92
Year
2025
ISSN
0139-9918
Type
article

Data source split

  • YÖKSİS YÖKSİS article record
  • OpenAlex OpenAlex enrichment (abstract, citations, topics)

Abstract

English (OpenAlex)

Abstract In this paper, we first introduce the fractional integral operators of a function with respect to another function. Then, we prove a new version of Hermite-Hadamard for newly introduced fractional integral operators. For this aim, we use the h-convex function in the case the function h is a B-function. Moreover, we also establish several corresponding trapezoid and midpoint type inequalities by using h-convex function and Hölder inequality.

Topics

  • Mathematical Inequalities and Applications
  • Functional Equations Stability Results
  • Analytic and geometric function theory

Primary topic Mathematical Inequalities and Applications

Authors

  1. Bouharket Benaissa
  2. Noureddine Azzouz
  3. HÜSEYİN BUDAK
  4. SAMET ERDEN BARTIN ÜNİVERSİTESİ