On the Generalization of Some Hermite–Hadamard Inequalities for Functions with Convex Absolute Values of the Second Derivatives Via Fractional Integrals
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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
Some generalizations of the class of functions convex in one direction
Sign Up to like & getrecommendations! Published in 2017 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080217020196
Abstract: This paper concerns the extension of univalent conditions known for a ring domain to the case of a half-plane. We study the possibilities of applying Rahman and Brickman methods to functions analytic in the upper… read more here.
Keywords: functions convex; one direction; convex one; generalizations class ... See more keywords