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On some new simpson’s formula type inequalities for convex functions in post-quantum calculus
ArticleAbstract: In this work, we prove a new (p, q)-integral identity involving a (p, q)-derivative and (p, q)-integPalabras claves:Convex functions, Post-quantum calculus, Simpson’s inequalitiesAutores:Ali M.A., Jansem S., Mateen A., Miguel Vivas Cortez, Qaisar S., Sial I.B.Fuentes:googlescopusOn Generalization of Different Integral Inequalities for Harmonically Convex Functions
ArticleAbstract: In this study, we first prove a parameterized integral identity involving differentiable functions.Palabras claves:Harmonically convex functions, Midpoint and trapezoidal inequality, Simpson’s inequalityAutores:Ali M.A., Miguel Vivas Cortez, Reunsumrit J., Sitthiwirattham T.Fuentes:googlescopusq<inf>1</inf> q<inf>2</inf>-Ostrowski-Type Integral Inequalities Involving Property of Generalized Higher-Order Strongly n-Polynomial Preinvexity
ArticleAbstract: Quantum calculus has numerous applications in mathematics. This novel class of functions may be usedPalabras claves:preinvex function, preinvex higher-order generalized strongly n-polynomial preinvex function, q q -Hölder integral inequality function 1 2, q q -Ostrowski-type inequalities 1 2Autores:Kalsoom H., Miguel Vivas CortezFuentes:googlescopusWeighted midpoint hermite-hadamard-fejér type inequalities in fractional calculus for harmonically convex functions
ArticleAbstract: In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonicallyPalabras claves:Harmonically convex functions, Hermite-Hadamard-Fejér type inequality, symmetry, Weighted fractional operatorsAutores:Ahmad H., Kalsoom H., Latif M.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:googlescopusGeneralized fractional Hermite-Hadamard type inclusions for co-ordinated convex interval-valued functions
ArticleAbstract: In this article, we introduce the notions of generalized fractional integrals for the interval-valuePalabras claves:co-ordinated convex, fractional integral, H-H inclusion, integral inclusions, IVFsAutores:Ali M.A., Budak H., Chasreechai S., Kara H., Miguel Vivas CortezFuentes:googlescopusRefinements for Hermite-Hadamard type inequalities for operator h-convex function
ArticleAbstract: In the present paper we introduce the notion of operator h-convex function. Also, we obtain new JensPalabras claves:Hermite- Hadamard inequalities, Jensen inequalities type, Operator convex functions, Operator h- convex functions, Self-adjoint operatorsAutores:Hernández J.E.H., Miguel Vivas CortezFuentes:googlescopusOn Non Conformable Fractional Laplace Transform
ArticleAbstract: In the present paper, the main theorems of the classical Laplace transform are generalized in the noPalabras claves:Fractional Calculus, Laplace fractional transformAutores:Herndndez J.E.H., Miguel Vivas Cortez, Oswalde Larreal, Valdes J.E.N., Velasco J.V.Fuentes:googlescopusSome Fractional Inequalities of Ostrowski-Type and related Applications
ArticleAbstract: A significant area in the region of pure and applied mathematics is the integral inequality. As it iPalabras claves:Generalized derivatives and integral, Laplace’s equationAutores:Miguel Vivas Cortez, Sajid S., Saleem M.S.Fuentes:googlescopusSome new post-quantum integral inequalities involving twice (P, q)-differentiable ψ-preinvex functions and applications
ArticleAbstract: The main motivation of this article is derive a new post-quantum integral identity using twice (p, qPalabras claves:bounded functions, Hermite–Hadamard inequality, Hölder’s inequality, Post-quantum calculus, Power mean inequality, special means, ψ-preinvex functionsAutores:Awan M.U., Kashuri A., Miguel Vivas Cortez, Noor M.A., Talib S.Fuentes:googlescopus