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An inequality related to s-ϕ-convex functions
ArticleAbstract: Using the notion of s-ϕ-convex functions as generalization of convex functions, we estimate the diffPalabras claves:Hermite-Hadamard type inequalities, S-convex function, S-ϕ-convex function, ϕ-convex functionAutores:Miguel Vivas-Cortez, Yenny Rangel-OliverosFuentes:googlescopusA Multi-Index Generalized Derivative; Some Introductory Notes
ArticleAbstract: In this work we present a generalized multi-index derivative, which contains as particular cases, wiPalabras claves:Fractional Calculus, Fractional derivatives and integral, Generalized derivativeAutores:Lugo L.M., Miguel Vivas-Cortez, Samei M.E., Valdes J.E.N.Fuentes:googlescopusA Study of Uniform Harmonic χ -Convex Functions with respect to Hermite-Hadamard's Inequality and Its Caputo-Fabrizio Fractional Analogue and Applications
ArticleAbstract: In this paper, we introduce the notion of uniform harmonic χ-convex functions. We show that this claPalabras claves:Autores:Awan M.U., Javed M.Z., Miguel Vivas-Cortez, Noor K.I., Noor M.A.Fuentes:googlescopusFractional identities involving exponential kernel and associated fractional trapezium like inequalities
ArticleAbstract: The main objective of this paper is to derive some new variants of trapezium like inequalities involPalabras claves:Convex, Exponential, fractional, preinvex, trapezium inequalitiesAutores:Awan M.U., Miguel Vivas-Cortez, Noor M.A., Talib S., Ye G.Fuentes:googlescopusFractional version of Hermite-Hadamard-Mercer inequalities for convex stochastic processes via Ψ<inf>k</inf> -Riemann-Liouville fractional integrals and its applications
ArticleAbstract: In the present paper, authors derive some new Hermite-Hadamard-Mercer type inequalities for convex sPalabras claves:Convex stochastic processes, Hermite-hadamard inequality, Hölder inequality, Improved power-mean inequality, Jensen inequality, Jensen-mercer inequality, Ψ -riemann-liouville fractional integrals kAutores:Miguel Vivas-Cortez, Sajid S., Saleem M.S.Fuentes:googlescopusFéjer type inequalities for (s, m)-Convex functions in second sense
ArticleAbstract: In this paper, we consider (s, m)-convex functions in second sense which were introduced and studiedPalabras claves:A, B/m, Féjer-Hermite-Hadamard inequality, Max b, Min a/mAutores:Miguel Vivas-CortezFuentes:googlescopusGeneralizations of fractional hermite-hadamard-mercer like inequalities for convex functions
ArticleAbstract: In this work, we establish inequalities of Hermite-Hadamard-Mercer (HHM) type for convex functions bPalabras claves:Convex functions, Fractional integrals, Hermite-hadamard inequality, Hermite-Hadamard-Mercer inequality, Hölder inequality, Jensen-mercer inequalityAutores:Ali M.A., Budak H., Kashuri A., Miguel Vivas-CortezFuentes:googlescopusGeneralized (p, q)-analogues of Dragomir-Agarwal’s inequalities involving Raina’s function and applications
ArticleAbstract: In this paper, we introduce the class of generalized strongly convex functions using Raina’s functioPalabras claves:Dragomir-Agarwal’s inequality, generalized strongly convex functions, Hölder inequality, Post-quantum calculus, power-mean inequality, Raina’s functionAutores:Awan M.U., Javed M.Z., Kashuri A., Miguel Vivas-Cortez, Noor M.A.Fuentes:googlescopusGeneralized fractional Hermite-Hadamard type inclusions for co-ordinated convex interval-valued functions
ArticleAbstract: In this article, we introduce the notions of generalized fractional integrals for the interval-valuePalabras claves:co-ordinated convex, fractional integral, H-H inclusion, integral inclusions, IVFsAutores:Ali M.A., Budak H., Chasreechai S., Kara H., Miguel Vivas-CortezFuentes:googlescopusExponential Type p–Convex Function with Some Related Inequalities and their Applications
ArticleAbstract: In this paper, the idea of exponential type p–convex function and its algebraic properties have beenPalabras claves:Convexity, Exponential type convexity, Hermite–Hadamard inequalityAutores:Butt S.I., Kashuri A., Miguel Vivas-Cortez, Nasir J., Tariq M.Fuentes:googlescopus