Petrović-type inequalities: Generalizations and extensions

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Published Nov 2, 2025

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Jorge Alberto Paz
Facultad de Matemáticas, Universidad Autónoma de Guerrero, Acapulco de Juárez, Guerrero, Mexico
Yamilet Quintana
Universidad Carlos III de Madrid, Departamento de Matemáticas, 28911 Leganés, Madrid, Spain; Instituto de Ciencias Matemáticas (ICMAT), Campus de Cantoblanco UAM, Madrid, 28049, Spain
José Manuel Rodríguez
Universidad Carlos III de Madrid, Departamento de Matemáticas, 28911 Leganés, Madrid, Spain
José María Sigarreta
Facultad de Matemáticas, Universidad Autónoma de Guerrero, Acapulco de Juárez, Guerrero, Mexico

Abstract

In this paper, we consider the classes of h-convex and m-convex functions and prove some continuous versions of Petrović-type inequalities. Then, as an application of these results, we provide some new properties for the generalized Caputo-type fractional integrals.
 

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How to Cite
Paz, J., Quintana, Y., Rodríguez, J., & Sigarreta, J. (2025). Petrović-type inequalities: Generalizations and extensions. Acta Mathematica Universitatis Comenianae, 94(4), 233-246. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/2192/1090
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Vol 94 No 4 (2025): AMUC
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Articles