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Hermite-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 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 inequalities for an extension of riemann–liouville fractional integrals using raina’s special function and generalized coordinate convex functions
ArticleAbstract: In this paper, the authors analyse and study some recent publications about integral inequalities rePalabras claves:Generalized convexity, Special functions, Trapezium-type inequalityAutores:Hernández J.E.H., Kashuri A., Liko R., Miguel Vivas-CortezFuentes:googlescopusTrapezium-type inequalities for raina’s fractional integrals operator using generalized convex functions
ArticleAbstract: The authors have reviewed a wide production of scientific articles dealing with the evolution of thePalabras claves:Generalized convexity, Hermite–Hadamard inequality, Hölder inequality, Power mean inequality, Raina’s fractional integral operatorAutores:Hernández J.E.H., Kashuri A., Miguel Vivas-CortezFuentes:googlescopusQuantum trapezium-type inequalities using generalized ϕ-convex functions
ArticleAbstract: In this work, a study is conducted on the Hermite-Hadamard inequality using a class of generalized cPalabras claves:Generalized convexity, Hermite-hadamard inequality, Quantum estimates, Special functionsAutores:Hernández J.E.H., Kashuri A., Liko R., Miguel Vivas-CortezFuentes:googlescopusSome new q-integral inequalities using generalized quantum montgomery identity via preinvex functions
ArticleAbstract: In this work the authors establish a new generalized version of Montgomery's identity in the settingPalabras claves:F-convex functions, Integral inequalities, quantum montgomery identityAutores:Hernández J.E.H., Kashuri A., Liko R., Miguel Vivas-CortezFuentes:googlescopus