Lah–Ribarič type inequalities for (h, g; m)-convex functions

Recently introduced new class of ( h ,  g ;  m )-convex functions unifies a certain range of convexity, thus allowing the generalizations of know results. In this paper we prove Lah–Ribarič type inequalities for ( h ,  g ;  m )-convex functions from which we obtain inequalities of Hermite–Hadamard,...

Full description

Saved in:
Bibliographic Details
Published in:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2022, Vol.116 (1), Article 39
Main Authors: Andrić, Maja, Pečarić, Josip
Format: Article
Language:English
Subjects:
Applications of Mathematics
Convex analysis
Convexity
Inequalities
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Recently introduced new class of ( h ,  g ;  m )-convex functions unifies a certain range of convexity, thus allowing the generalizations of know results. In this paper we prove Lah–Ribarič type inequalities for ( h ,  g ;  m )-convex functions from which we obtain inequalities of Hermite–Hadamard, Fejér, Giaccardi, Popoviciu and Petrović.
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-021-01180-7