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Fractional 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: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:googlescopusNew ostrowski type inequalities for generalized s-convex functions with applications to some special means of real numbers and to midpoint formula
ArticleAbstract: In this paper we establish new Ostrowski type inequalities related to the notion s-ϕ-convex functionPalabras claves:Ostrowski inequality, S-convex function, S-ϕ -convex function b, S-ϕ-convex function, ϕ-convex functionAutores:Agarwal P., Ali M.A., Miguel Vivas-Cortez, Yenny Rangel-OliverosFuentes:googlescopusHermite-Hadamard and Ostrowski type inequalities in h-calculus with applications
ArticleAbstract: In this paper, we prove Hermite-Hadamard inequality for convex functions in the framework of h-calcuPalabras claves:Convex functions, H-integral, Hermite-hadamard inequality, Ostrowski inequality, Quantum calculusAutores:Ali M.A., Miguel Vivas-Cortez, Murtaza G., Sial I.B.Fuentes:googlescopusOn coupled snap system with integral boundary conditions in the G-Caputo sense
ArticleAbstract: In this paper, we consider a coupled snap system in a fractional G-Caputo derivative sense with intePalabras claves:boundary value problem, G-Caputo fractional differential equation, snap problem, Ulam-Hyers-Rassias stabilityAutores:Kedim I., Matar M.M., Miguel Vivas-Cortez, Salman M.A., Samei M.E., Thabet S.T.M.Fuentes:googlescopusOn some generalized Raina-type fractional-order integral operators and related Chebyshev inequalities
ArticleAbstract: In this work, we introduce generalized Raina fractional integral operators and derive Chebyshev-typePalabras claves:Approximation techniques, Chebyshev inequality, Fractional-order integrals, Generalized Raina integral operators, Integral inequalitiesAutores:Hamed Y.S., Hernández J.E.H., Kashuri A., Macías-Díaz J.E., Miguel Vivas-Cortez, Mohammed P.O.Fuentes:googlescopusIntegral inequalities of Hermite-Hadamard type for quasi-convex functions with applications
ArticleAbstract: There is a strong connection between convexity and inequalities. So, techniques from each concept apPalabras claves:Hermite-hadamard inequality, Hölder inequality, Quasi-convex functionAutores:Abdeljawad T., Miguel Vivas-Cortez, Mohammed P.O., Yenny Rangel-OliverosFuentes:googlescopusPost-quantum Ostrowski type integral inequalities for functions of two variables
ArticleAbstract: In this study, we give the notions about some new post-quantum partial derivatives and then use thesPalabras claves:(p, q)-integrals, Co-ordinated convex function, Ostrowski inequality, Post-quantum calculusAutores:Ali M.A., Budak H., Miguel Vivas-Cortez, Sial I.B.Fuentes:googlescopusSome fractional integral inequalities via h-Godunova-Levin preinvex function
ArticleAbstract: In recent years, integral inequalities are investigated due to their extensive applications in severPalabras claves:fractional inequalities, h-Godunova-Levin convex and preinvex function, Hadamard inequalityAutores:Ali R.S., Ali S., Miguel Vivas-Cortez, Mubeen S., Nisar K.S., Rahman G.Fuentes:googlescopus