On the Generalization of Some Hermite–Hadamard Inequalities for Functions with Convex Absolute Values of the Second Derivatives Via Fractional Integrals
Sign Up to like & getrecommendations! Published in 2019 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-019-01618-7
Abstract: We provide a unified approach to getting Hermite–Hadamard inequalities for functions with convex absolute values of the second derivatives via the Riemann–Liouville integrals. Some particular inequalities generalizing the classical results, such as the trapezoid inequality,… read more here.
Keywords: convex absolute; inequalities functions; absolute values; hadamard inequalities ... See more keywords
Minimax inequalities for functions with noncompact domain and diagonal GC-quasiconcavity and their applications
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DOI: 10.2298/fil2302661l
Abstract: This paper introduces the notion of diagonal GC-quasiconcavity which generalizes the notions of quasiconcavity, CF-quasiconcavity, diagonal transfer quasiconcavity, C-quasiconcavity, diagonal C-concavity, and diagonal C-quasiconcavity. We first establish some theorems for the existence of ?-equilibrium of… read more here.
Keywords: inequalities functions; noncompact domain; diagonal quasiconcavity; minimax inequalities ... See more keywords