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A 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: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:googlescopusExtremal solution to generalized differential equations under integral boundary condition
ArticleAbstract: In this article, by utilizing the monotone iterative strategy coupled with the strategy of upper andPalabras claves:Generalized differential equations, Monotone iterative method, Riemann-Stieltjes integral, Upper and lower solutionsAutores:Miguel Vivas-Cortez, Oswalde Larreal, Valdes J.E.N.Fuentes:googlescopusNew hermite-Hadamard and Jensen type inequalities for h-convex functions on fractal sets
ArticleAbstract: In this paper, some new Jensen and Hermite-Hadamard inequalities for h-convex functions on fractal sPalabras claves:Fractal sets, Generalized convexity, H-convex functions, Hermite-Hadamard type inequality, Jensen inequalityAutores:Hernández J.E.H., Merentes N., Miguel Vivas-CortezFuentes:googlescopusHermite-Hadamard Fractional Integral Inequalities via Abel-Gontscharoff Green’s Function
ArticleAbstract: The Hermite-Hadamard inequalities for κ-Riemann-Liouville fractional integrals (R-LFI) are presentedPalabras claves:Abel-Gontscharoff Green’s function, Convex function, Hermite-Hadamard inequalities, Mittag-Leffler, κ-Riemann-Liouville fractional integralAutores:Gul A., Li Y., Miguel Vivas-Cortez, Rahman G., Samraiz M.Fuentes: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:googlescopusHermite-hadamard-fejér type inequalities for strongly (s,m)-convex functions with modulus c, in second sense
ArticleAbstract: We introduce the class of strongly (s,m)-convex functions modulus c > 0 in the second sense, and proPalabras claves:Convexity generalized, Inequalities of fejér type, Inequalities of hermite typeAutores:Giménez J., Miguel Vivas-Cortez, Mireya Rafaela Bracamonte PFuentes:scopusHermite–jensen–mercer-type inequalities via caputo–fabrizio fractional integral for h-convex function
ArticleAbstract: Integral inequalities involving many fractional integral operators are used to solve various fractioPalabras claves:Caputo–Fabrizio fractional integral, Convex function, H-convex function, Hermite–Hadamard inequality, Jensen inequality, Jensen–Mercer inequalityAutores:Kashuri A., Miguel Vivas-Cortez, Sajid S., Saleem M.S., Zahoor M.S.Fuentes:googlescopus