1Facultad de Matemáticas, Universidad Autónoma de Guerrero, Acapulco de Juárez, Guerrero, Mexico 2Universidad Carlos III de Madrid, Departamento de Matemáticas, 28911 Leganés, Madrid, Spain; Instituto de Ciencias Matemáticas (ICMAT), Campus de Cantoblanco UAM, Madrid, 28049, Spain 3Universidad Carlos III de Madrid, Departamento de Matemáticas, 28911 Leganés, Madrid, Spain
Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 4, pp. 233-246
Citer cet article
Jorge Alberto Paz; Yamilet Quintana; José Manuel Rodríguez; José María Sigarreta; Jorge Alberto Paz; Yamilet Quintana; José Manuel Rodríguez; José María Sigarreta. Petrović-type inequalities: Generalizations and extensions. Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 4, pp. 233-246. http://geodesic.mathdoc.fr/item/AMUC_2025_94_4_a1/
@article{AMUC_2025_94_4_a1,
author = {Jorge Alberto Paz and Yamilet Quintana and Jos\'e Manuel Rodr{\'\i}guez and Jos\'e Mar{\'\i}a Sigarreta and Jorge Alberto Paz and Yamilet Quintana and Jos\'e Manuel Rodr{\'\i}guez and Jos\'e Mar{\'\i}a Sigarreta},
title = { Petrovi\'c-type inequalities: {Generalizations} and extensions},
journal = {Acta mathematica Universitatis Comenianae},
pages = {233--246},
year = {2025},
volume = {94},
number = {4},
url = {http://geodesic.mathdoc.fr/item/AMUC_2025_94_4_a1/}
}
TY - JOUR
AU - Jorge Alberto Paz
AU - Yamilet Quintana
AU - José Manuel Rodríguez
AU - José María Sigarreta
AU - Jorge Alberto Paz
AU - Yamilet Quintana
AU - José Manuel Rodríguez
AU - José María Sigarreta
TI - Petrović-type inequalities: Generalizations and extensions
JO - Acta mathematica Universitatis Comenianae
PY - 2025
SP - 233
EP - 246
VL - 94
IS - 4
UR - http://geodesic.mathdoc.fr/item/AMUC_2025_94_4_a1/
ID - AMUC_2025_94_4_a1
ER -
%0 Journal Article
%A Jorge Alberto Paz
%A Yamilet Quintana
%A José Manuel Rodríguez
%A José María Sigarreta
%A Jorge Alberto Paz
%A Yamilet Quintana
%A José Manuel Rodríguez
%A José María Sigarreta
%T Petrović-type inequalities: Generalizations and extensions
%J Acta mathematica Universitatis Comenianae
%D 2025
%P 233-246
%V 94
%N 4
%U http://geodesic.mathdoc.fr/item/AMUC_2025_94_4_a1/
%F AMUC_2025_94_4_a1
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.
