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New 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:googlescopusNew ostrowski type inequalities for coordinated (s,m)-convex functions in the second sense
ArticleAbstract: In the present work we introduce the class of (s,m)-convex functions on the coordinates and some newPalabras claves:(s,m)-convexity in the second sense, Generalized convexity, Ostrowski inequality for coordinatesAutores:García C., Hernández J.E.H., Kashuri A., Miguel Vivas-CortezFuentes: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 a Hardy's inequality for a fractional integral operator
ArticleAbstract: In the present work we find inequalities that generalize some results found by Iqbal in [4, 5] regarPalabras claves:Fractional integral operator, Hardy's inequalityAutores:Hernández J.E.H., Miguel Vivas-CortezFuentes:googlescopusOn relative m-semi logarithmically convexity functions
ArticleAbstract: We consider and study a new class of convex functions that are called relative m-semilogarithmic conPalabras claves:Hermite-Hadamard inequalities, Relative m-semilogarithmic convex functionsAutores:Hernández J.E.H., Miguel Vivas-CortezFuentes: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:googlescopusOn some new generalized Hermite-Hadamard-Fejér inequalities for product of two operator h- convex functions.
ArticleAbstract: In the present paper we introduce the notion of operator h-convex function . Also, we obtain new JenPalabras claves:Hermite-Hadamard-Fejér inequalities, Operator convex functions, Operator h- convex functions, Self-adjoint operatorsAutores:Hernández J.E.H., Miguel Vivas-CortezFuentes:googlescopusOn φ–Convex Stochastic Processes and Integral Inequalities Related
ArticleAbstract: In this paper the concept of ϕ–convex stochastic process is introduced and certain algebraic propertPalabras claves:Mean square integral inequalities, Stochastic processes, ϕ–convexityAutores:Hernández J.E.H., Kashuri A., Miguel Vivas-CortezFuentes:googlescopusOstrowski and Jensen-type inequalities via (s, m)-convex functions in the second sense: Ostrowski and Jensen-type inequalities and generalized convexity
ArticleAbstract: In this work, a generalization of the classical Ostrowski inequality is obtained for functions, whosPalabras claves:(s, m)-convex function, Convex function, Jensen integral inequality, Ostrowski inequalityAutores:Hernández J.E.H., Miguel Vivas-CortezFuentes:googlescopusTrapezium-type AB−fractional Integral Inequalities Using Generalized Convex and Quasi Φ−Convex Functions
ArticleAbstract: The Hermite-Hadamard inequality and an identity for AB−fractional integrals are demonstrated in thisPalabras claves:Ab-fractional integrals, Convexity, Hermite-hadamard inequality, Hölder inequality, Mittag-leffler function, Power mean inequalityAutores:Hernández J.E.H., Kashuri A., Miguel Vivas-CortezFuentes:googlescopus