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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:googlescopusHermite–jensen–mercer-type inequalities via caputo–fabrizio fractional integral for h-convex function
ArticleAbstract: Integral inequalities involving many fractional integral operators are used to solve various fractioPalabras claves:Caputo–Fabrizio fractional integral, Convex function, H-convex function, Hermite–Hadamard inequality, Jensen inequality, Jensen–Mercer inequalityAutores:Kashuri A., Miguel Vivas-Cortez, Sajid S., Saleem M.S., Zahoor M.S.Fuentes: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:googlescopusGeneralizations 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:googlescopusOn some generalized Raina-type fractional-order integral operators and related Chebyshev inequalities
ArticleAbstract: In this work, we introduce generalized Raina fractional integral operators and derive Chebyshev-typePalabras claves:Approximation techniques, Chebyshev inequality, Fractional-order integrals, Generalized Raina integral operators, Integral inequalitiesAutores:Hamed Y.S., Hernández J.E.H., Kashuri A., Macías-Díaz J.E., Miguel Vivas-Cortez, Mohammed P.O.Fuentes: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: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 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:googlescopus