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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: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: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: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:googlescopusSome inequalities using generalized convex functions in quantum analysis
ArticleAbstract: In the present work, the Hermite-Hadamard inequality is established in the setting of quantum calculPalabras claves:(m, h , h )-convex functions 1 2, Dominated convexity, Integral inequalities, Quantum calculusAutores:Hernández J.E.H., Kashuri A., Liko R., Miguel Vivas CortezFuentes:googlescopusSome new newton's type integral inequalities for co-ordinated convex functions in quantum calculus
ArticleAbstract: Some recent results have been found treating the famous Simpson's rule in connection with the convexPalabras claves:Co-ordinated convexity, Newton's inequality, q1q2-derivatives, q1q2-integral, QuantumcalculusAutores:Ali M.A., Kashuri A., Miguel Vivas Cortez, Sial I.B., Zhang Z.Fuentes: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: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:googlescopus