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Montgomery 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: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:googlescopusOn 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:googlescopusTrapezium-like Inequalities Involving k-th Order Differentiable R<inf>γ</inf>-Convex Functions and Applications
ArticleAbstract: We introduce the class of Rγ-convex functions and discuss that it relates to some other classes of cPalabras claves:Convex, k-times differentiable, means, R -convex functions γ, trapezium inequalitiesAutores:Awan M.U., Miguel Vivas-Cortez, Noor K.I., Noor M.A., Talib S.Fuentes: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 estimates of ostrowski inequalities for generalized ϕ-convex functions
ArticleAbstract: In this paper, the study is focused on the quantum estimates of Ostrowski type inequalities for q-diPalabras claves:Generalized convexity, Ostrowski inequality, Quantum estimates, Raina's functionAutores:Hernández J.E.H., Kashuri A., Liko R., Miguel Vivas-CortezFuentes: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:googlescopus