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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: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:googlescopusMontgomery Identity and Ostrowski-Type Inequalities for Generalized Quantum Calculus through Convexity and Their Applications
ArticleAbstract: The celebrated Montgomery identity has been studied extensively since it was established. We found aPalabras claves:Hölder’s inequality, post quantum calculus theory, Power mean inequality, quantum calculus theory, quantum montgomery identityAutores:Abidin M.Z., Kalsoom H., Khan Z.A., Marwan M., Miguel Vivas-CortezFuentes:googlescopusMulti-Parameter Quantum Integral Identity Involving Raina’s Function and Corresponding q-Integral Inequalities with Applications
ArticleAbstract: Convexity performs its due role in the theoretical field of inequalities according to the nature andPalabras claves:Convexity, Hölder’s inequality, Quantum derivatives, quantum integrals, R -convex sAutores:Awan M.U., Kashuri A., Miguel Vivas-Cortez, Noor M.A., Talib S.Fuentes:googlescopusNew Simpson’s Type Estimates for Two Newly Defined Quantum Integrals
ArticleAbstract: In this paper, we give some correct quantum type Simpson’s inequalities via the application of q-HölPalabras claves:Convex function, Q-Hölder’s inequality, Quantum derivatives, quantum integrals, Simpson’s inequalityAutores:Anwar M., Kashuri A., Miguel Vivas-Cortez, Raees M., Rahman G., Samraiz M.Fuentes:googlescopusNewton’s law of cooling with generalized conformable derivatives
ArticleAbstract: In this communication, using a generalized conformable differential operator, a simulation of the wePalabras claves:Conformable derivative, Fractional Calculus, Newton law of coolingAutores:Fleitas A., Guzman P.M., Miguel Vivas-Cortez, Nápoles J.E., Rosales J.J.Fuentes:googlescopusHermite-hadamard type mean square integral inequalities for stochastic processes whose twice mean square derivative are generalized η-convex.
ArticleAbstract: In the present work, a new concept of generalized convexity (i.e. generalized η-convexity) is establPalabras claves:Generalized η-convex stochastic processes, Hermite-hadamard inequality, Mean square integral inequalitiesAutores:García C., Hernández J.E.H., Kashuri A., Miguel Vivas-CortezFuentes:googlescopusOn Opial-type inequality for a generalized fractional integral operator
ArticleAbstract: This article is aimed at establishing some results concerning integral inequalities of the Opial typPalabras claves:Fractional Calculus, Fractional integral operator, Opial inequalityAutores:Hernandez J.E.H., Martínez F., Miguel Vivas-Cortez, Valdes J.E.N.Fuentes:googlescopusOn a Generalized Laplace Transform
ArticleAbstract: In this work we define a generalized Laplace transform and establish some of its fundamental propertPalabras claves:Fractional Calculus, Generalized derivatives and integral, Generalized Laplace transformAutores:Juan E. N.V., Luciano M. L.M.B., Miguel Vivas-CortezFuentes:googlescopus