A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Quantum Calculus

Autor: Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Foundations, Vol 3, Iss 2, Pp 340-379 (2023)
Druh dokumentu: article
ISSN: 2673-9321
DOI: 10.3390/foundations3020026
Popis: A review of results on Hermite–Hadamard (H-H) type inequalities in quantum calculus, associated with a variety of classes of convexities, is presented. In the various classes of convexities this includes classical convex functions, quasi-convex functions, p-convex functions, (p,s)-convex functions, modified (p,s)-convex functions, (p,h)-convex functions, tgs-convex functions, η-quasi-convex functions, ϕ-convex functions, (α,m)-convex functions, ϕ-quasi-convex functions, and coordinated convex functions. Quantum H-H type inequalities via preinvex functions and Green functions are also presented. Finally, H-H type inequalities for (p,q)-calculus, h-calculus, and (q−h)-calculus are also included.
Databáze: Directory of Open Access Journals