Geodesic
New Jensen-type integral inequalities via modified $(h,m)$-convexity and their applications
Bahtiyar Bayraktar1 ; Péter Kórus2 ; Juan E. Nápoles Valdés3 ; Bahtiyar Bayraktar ; Péter Kórus ; Juan E. Nápoles Valdés
1Faculty of Education, Bursa Uludag University, Gorukle Campus, 16059, Bursa, Turkey
2Institute of Applied Pedagogy, Juhász Gyula Faculty of Education, University of Szeged, Szeged, Hungary
3UNNE, FaCENA, Corrientes 3400, Argentina; UTN-FRRE, Chaco 3500, Argentina
Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 3, pp. 213-223 
Bahtiyar Bayraktar; Péter Kórus; Juan E. Nápoles Valdés; Bahtiyar Bayraktar; Péter Kórus; Juan E. Nápoles Valdés. New Jensen-type integral inequalities via modified $(h,m)$-convexity and their applications. Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 3, pp. 213-223. http://geodesic.mathdoc.fr/item/AMUC_2023_92_3_a1/
@article{AMUC_2023_92_3_a1,
     author = {Bahtiyar Bayraktar and P\'eter K\'orus and Juan E. N\'apoles Vald\'es and Bahtiyar Bayraktar and P\'eter K\'orus and Juan E. N\'apoles Vald\'es},
     title = { New {Jensen-type} integral inequalities via modified $(h,m)$-convexity and their applications},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {213--223},
     year = {2023},
     volume = {92},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2023_92_3_a1/}
}
TY  - JOUR
AU  - Bahtiyar Bayraktar
AU  - Péter Kórus
AU  - Juan E. Nápoles Valdés
AU  - Bahtiyar Bayraktar
AU  - Péter Kórus
AU  - Juan E. Nápoles Valdés
TI  - New Jensen-type integral inequalities via modified $(h,m)$-convexity and their applications
JO  - Acta mathematica Universitatis Comenianae
PY  - 2023
SP  - 213
EP  - 223
VL  - 92
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/AMUC_2023_92_3_a1/
ID  - AMUC_2023_92_3_a1
ER  - 
%0 Journal Article
%A Bahtiyar Bayraktar
%A Péter Kórus
%A Juan E. Nápoles Valdés
%A Bahtiyar Bayraktar
%A Péter Kórus
%A Juan E. Nápoles Valdés
%T New Jensen-type integral inequalities via modified $(h,m)$-convexity and their applications
%J Acta mathematica Universitatis Comenianae
%D 2023
%P 213-223
%V 92
%N 3
%U http://geodesic.mathdoc.fr/item/AMUC_2023_92_3_a1/
%F AMUC_2023_92_3_a1

Voir la notice de l'article provenant de la source Comenius University

This article presents new developments and applications of Jensen's inequality. We explore various variations of Jensen's inequality related to modified $(h,m)$-convex functions. The obtained results extend the applicability of the inequality to a broader class of functions and contexts. In addition to the fact that the results presented in the article provide additional results available in the literature, we also give examples of their application.