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Generalizations of fractional hermite-hadamard-mercer like inequalities for convex functions
ArticleAbstract: In this work, we establish inequalities of Hermite-Hadamard-Mercer (HHM) type for convex functions bPalabras claves:Convex functions, Fractional integrals, Hermite-hadamard inequality, Hermite-Hadamard-Mercer inequality, Hölder inequality, Jensen-mercer inequalityAutores:Ali M.A., Budak H., Kashuri A., Miguel Vivas-CortezFuentes:googlescopusGeneralized (p, q)-analogues of Dragomir-Agarwal’s inequalities involving Raina’s function and applications
ArticleAbstract: In this paper, we introduce the class of generalized strongly convex functions using Raina’s functioPalabras claves:Dragomir-Agarwal’s inequality, generalized strongly convex functions, Hölder inequality, Post-quantum calculus, power-mean inequality, Raina’s functionAutores:Awan M.U., Javed M.Z., Kashuri A., Miguel Vivas-Cortez, Noor M.A.Fuentes: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:googlescopusExponential Type p–Convex Function with Some Related Inequalities and their Applications
ArticleAbstract: In this paper, the idea of exponential type p–convex function and its algebraic properties have beenPalabras claves:Convexity, Exponential type convexity, Hermite–Hadamard inequalityAutores:Butt S.I., Kashuri A., Miguel Vivas-Cortez, Nasir J., Tariq M.Fuentes:googlescopusSome new generalized κ–fractional hermite–hadamard–mercer type integral inequalities and their applications
ArticleAbstract: In this paper, we have established some new Hermite–Hadamard–Mercer type of inequalities by using κ–Palabras claves:Error estimation, Hermite–Hadamard inequality, Hölder’s inequality, Jensen–Mercer inequality, Power mean inequality, special meansAutores:Awan M.U., Javed M.Z., Kashuri A., Miguel Vivas-Cortez, Noor K.I., Noor M.A.Fuentes: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: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:googlescopusSome novel inequalities involving Atangana-Baleanu fractional integral operators and applications
ArticleAbstract: As we know, Atangana and Baleanu developed great fractional integral operators which used the generaPalabras claves:Atangana-Baleanu fractional integrals, bounded functions, higher order strongly n-polynomial convex, Hölder’s inequality, Power mean inequality, special meansAutores:Awan M.U., Javed M.Z., Kashuri A., Miguel Vivas-Cortez, Rafique S.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:googlescopus