Monotonicity, convexity and inequalities involving the generalized elliptic integrals

From MaRDI portal
Publication:2151003

DOI10.1007/s10473-019-0520-zzbMath1499.33072OpenAlexW2960857162MaRDI QIDQ2151003

Wen Zhang, Yu-Ming Chu, Miao-Kun Wang

Publication date: 30 June 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-019-0520-z




Related Items

Several absolutely monotonic functions related to the complete elliptic integral of the first kindA sharp double inequality involving generalized complete elliptic integral of the first kindConformable fractional integral inequalities for \(GG\)- and \(GA\)-convex functionsA simple rational approximation to the generalized elliptic integral of the first kindCompletely monotonic integer degrees for a class of special functionsNew weighted generalizations for differentiable exponentially convex mapping with applicationNew inequalities via \(n\)-polynomial harmonically exponential type convex functionsOstrowski type inequalities in the sense of generalized \(\mathcal{K}\)-fractional integral operator for exponentially convex functionsDelay dynamic double integral inequalities on time scales with applicationsOn generalized complete \((p, q)\)-elliptic integralsSharp bounds for Toader-type means in terms of two-parameter meansAbsolute monotonicity involving the complete elliptic integrals of the first kind with applicationsExtended elliptic-type integrals with associated properties and Turán-type inequalitiesInequalities for generalized Riemann-Liouville fractional integrals of generalized strongly convex functionsConvexity and concavity of the modified Bessel functions of the first kind with respect to Hölder meansSharp power mean inequalities for the generalized elliptic integral of the first kindNew Mitrinović-Adamović type inequalitiesSome new inequalities involving \(\kappa \)-fractional integral for certain classes of functions and their applicationsInequalities and bounds for the \(p\)-generalized trigonometric functionsNotes on the complete elliptic integral of the first kindInequalities for generalized trigonometric and hyperbolic functions with one parameterA best possible upper bound for the complete elliptic integral of the first kindA sharp lower bound for the complete elliptic integrals of the first kindMonotonicity and sharp inequalities related to complete \((p,q)\)-elliptic integrals of the first kindAsymptotic expansion and bounds for complete elliptic integralsSharp rational bounds for the gamma functionExtensions of quadratic transformation identities for hypergeometric functionsA necessary and sufficient condition for the convexity of the generalized elliptic integral of the first kind with respect to Hölder meanAbsolutely monotonic functions involving the complete elliptic integrals of the first kind with applicationsSharp generalized Seiffert mean bounds for the Toader mean of order 4Sharp one-parameter geometric and quadratic means bounds for the Sándor-Yang meansShafer-Fink type inequalities for arc lemniscate functionsApproximation for the complete elliptic integral of the first kindInequalities involving conformable approach for exponentially convex functions and their applicationsFunctional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kindPetrović-type inequalities for harmonic \(h\)-convex functionsOn Pólya-Szegö and Čebyšev type inequalities via generalized \(k\)-fractional integralsSharp bounds for the Toader mean of order 3 in terms of arithmetic, quadratic and contraharmonic meansSome new Hermite-Hadamard-type inequalities associated with conformable fractional integrals and their applicationsMonotonicity and inequalities related to the generalized inverse lemniscate functionsOptimal two-parameter geometric and arithmetic mean bounds for the Sándor-Yang meanA note on generalized convex functionsSome new fractional integral inequalities for exponentially \(m\)-convex functions via extended generalized Mittag-Leffler functionHermite-Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applicationsGeneralizations and refinements of three-tuple diamond-alpha integral Hölder's inequality on time scalesOn Cauchy-Schwarz inequality for \(N\)-tuple diamond-alpha integralMonotonicity properties and bounds involving the two-parameter generalized Grötzsch ring functionOptimal bounds for Toader mean in terms of general meansNew Hermite-Hadamard type inequalities for \(n\)-polynomial harmonically convex functionsA new Hermite-Hadamard type inequality for coordinate convex functionSome Padé approximations and inequalities for the complete elliptic integrals of the first kindAnswers to three conjectures on convexity of three functions involving complete elliptic integrals of the first kindOn Grüss inequalities within generalized \(\mathcal{K}\)-fractional integralsPrecise bounds for the weighted Hölder mean of the complete \(p\)-elliptic integralsNew properties for the Ramanujan \(R\)-functionA necessary and sufficient condition for the convexity of the one-parameter generalized inverse trigonometric sine function according to power meanConvexity and monotonicity involving the complete elliptic integral of the first kindThe monotonicity of ratios involving arc tangent function with applicationsNEW GENERALIZATIONS IN THE SENSE OF THE WEIGHTED NON-SINGULAR FRACTIONAL INTEGRAL OPERATORNEW ESTIMATES OF INTEGRAL INEQUALITIES VIA GENERALIZED PROPORTIONAL FRACTIONAL INTEGRAL OPERATOR WITH RESPECT TO ANOTHER FUNCTIONOn new fractional integral inequalities for \(p\)-convexity within interval-valued functionsA new bound for the Jensen gap pertaining twice differentiable functions with applications



Cites Work


This page was built for publication: Monotonicity, convexity and inequalities involving the generalized elliptic integrals