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Some 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:googlescopusTraveling wave behavior of new (2+1)-dimensional combined KdV–mKdV equation
ArticleAbstract: The KdV and mKdV equations have many significant applications in the field of plasma physics and ocePalabras claves:Combined KdV–mKdV equation, Generalized projective Riccati equation method, Nonlinear waves, Solitary waves, Water wavesAutores:Akram G., Arshed S., Farooq K., Miguel Vivas Cortez, Rehan K., Sadaf M.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: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: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:googlescopusSimpson's Integral Inequalities for Twice Differentiable Convex Functions
ArticleAbstract: Integral inequality is an interesting mathematical model due to its wide and significant applicationPalabras claves:Autores:Abdeljawad T., Miguel Vivas Cortez, Mohammed P.O., Yenny Rangel-OliverosFuentes: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 some conformable boundary value problems in the setting of a new generalized conformable fractional derivative
ArticleAbstract: The fundamental objective of this article is to investigate about the boundary value problem with thPalabras claves:Boundary value problems, conformable fractional derivatives, Sturm-Picone theoremAutores:Árciga M.P., Hernandez J.E.H., Miguel Vivas Cortez, Najera J.C.Fuentes:googlescopusOn a Generalized Laplace Transform
ArticleAbstract: In this work we define a generalized Laplace transform and establish some of its fundamental propertPalabras claves:Fractional Calculus, Generalized derivatives and integral, Generalized Laplace transformAutores:Juan E. N.V., Luciano M. L.M.B., Miguel Vivas CortezFuentes:googlescopus