Hermite-Hadamard Type Inequalities for Fractional Integrals by Means of Linear Functionals

Abstract In this paper we present necessary and sufficient conditions for Hermite-Hadamard type inequalities to hold for linear and positive functionals. In particular, the results from [M. Z. Sarikaya, E. Set, H. Yaldiz, N. Başak, Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities, Mathematical and Computer Modelling, 57 (9–10), 2013, 2403-2407] are obtained.

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Publication Details

Journal
General Mathematics
Published
2024-12-01
DOI
https://doi.org/10.2478/gm-2024-0009
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

Hermite-Hadamard Type Inequalities for Fractional Integrals by Means of Linear Functionals

Daniel Ianoși
General Mathematics
Mathematical Inequalities and Applications
article

Hermite-Hadamard Type Inequalities for Fractional Integrals by Means of Linear Functionals

Daniel Ianoși
article en

Abstract

Abstract In this paper we present necessary and sufficient conditions for Hermite-Hadamard type inequalities to hold for linear and positive functionals. In particular, the results from [M. Z. Sarikaya, E. Set, H. Yaldiz, N. Başak, Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities, Mathematical and Computer Modelling, 57 (9–10), 2013, 2403-2407] are obtained.

General MathematicsVol. 32(2)
Technical University of Cluj-Napoca (RO)
Openalex Percentile: Top 52%
Mathematical Inequalities and Applications
DOIOpen Access PDFOpenAlex
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Hermite-Hadamard Type Inequalities for Fractional Integrals by Means of Linear Functionals — Daniel Ianoși · General Mathematics (2024) | TGRS Research Map | TGRS