On the Hermite–Hadamard inequalities via Fourier Transform

Abstract The objective of this note is to establish new versions of the Hermite–Hadamard inequalities, for ( h , m )-convex functions of the second type, by means of a completely new approach: the Fourier Transform.

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Publication Details

Journal
Mathematica Slovaca
Published
2026-09-01
DOI
https://doi.org/10.1515/ms-2026-0325
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

On the Hermite–Hadamard inequalities via Fourier Transform

Juan E. Nápoles Valdés, Bahtiyar Bayraktar
Mathematica Slovaca
Mathematical Inequalities and Applications
article

On the Hermite–Hadamard inequalities via Fourier Transform

Juan E. Nápoles Valdés, Bahtiyar Bayraktar
article en

Abstract

Abstract The objective of this note is to establish new versions of the Hermite–Hadamard inequalities, for ( h , m )-convex functions of the second type, by means of a completely new approach: the Fourier Transform.

Mathematica Slovaca
Bursa Uludağ Üni̇versi̇tesi̇ (TR), National University of the Northeast (AR)
Reduced inequalities
Openalex Percentile: Top 6%
Mathematical Inequalities and Applications
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