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 kind ⋮ A sharp double inequality involving generalized complete elliptic integral of the first kind ⋮ Conformable fractional integral inequalities for \(GG\)- and \(GA\)-convex functions ⋮ A simple rational approximation to the generalized elliptic integral of the first kind ⋮ Completely monotonic integer degrees for a class of special functions ⋮ New weighted generalizations for differentiable exponentially convex mapping with application ⋮ New inequalities via \(n\)-polynomial harmonically exponential type convex functions ⋮ Ostrowski type inequalities in the sense of generalized \(\mathcal{K}\)-fractional integral operator for exponentially convex functions ⋮ Delay dynamic double integral inequalities on time scales with applications ⋮ On generalized complete \((p, q)\)-elliptic integrals ⋮ Sharp bounds for Toader-type means in terms of two-parameter means ⋮ Absolute monotonicity involving the complete elliptic integrals of the first kind with applications ⋮ Extended elliptic-type integrals with associated properties and Turán-type inequalities ⋮ Inequalities for generalized Riemann-Liouville fractional integrals of generalized strongly convex functions ⋮ Convexity and concavity of the modified Bessel functions of the first kind with respect to Hölder means ⋮ Sharp power mean inequalities for the generalized elliptic integral of the first kind ⋮ New Mitrinović-Adamović type inequalities ⋮ Some new inequalities involving \(\kappa \)-fractional integral for certain classes of functions and their applications ⋮ Inequalities and bounds for the \(p\)-generalized trigonometric functions ⋮ Notes on the complete elliptic integral of the first kind ⋮ Inequalities for generalized trigonometric and hyperbolic functions with one parameter ⋮ A best possible upper bound for the complete elliptic integral of the first kind ⋮ A sharp lower bound for the complete elliptic integrals of the first kind ⋮ Monotonicity and sharp inequalities related to complete \((p,q)\)-elliptic integrals of the first kind ⋮ Asymptotic expansion and bounds for complete elliptic integrals ⋮ Sharp rational bounds for the gamma function ⋮ Extensions of quadratic transformation identities for hypergeometric functions ⋮ A necessary and sufficient condition for the convexity of the generalized elliptic integral of the first kind with respect to Hölder mean ⋮ Absolutely monotonic functions involving the complete elliptic integrals of the first kind with applications ⋮ Sharp generalized Seiffert mean bounds for the Toader mean of order 4 ⋮ Sharp one-parameter geometric and quadratic means bounds for the Sándor-Yang means ⋮ Shafer-Fink type inequalities for arc lemniscate functions ⋮ Approximation for the complete elliptic integral of the first kind ⋮ Inequalities involving conformable approach for exponentially convex functions and their applications ⋮ Functional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kind ⋮ Petrović-type inequalities for harmonic \(h\)-convex functions ⋮ On Pólya-Szegö and Čebyšev type inequalities via generalized \(k\)-fractional integrals ⋮ Sharp bounds for the Toader mean of order 3 in terms of arithmetic, quadratic and contraharmonic means ⋮ Some new Hermite-Hadamard-type inequalities associated with conformable fractional integrals and their applications ⋮ Monotonicity and inequalities related to the generalized inverse lemniscate functions ⋮ Optimal two-parameter geometric and arithmetic mean bounds for the Sándor-Yang mean ⋮ A note on generalized convex functions ⋮ Some new fractional integral inequalities for exponentially \(m\)-convex functions via extended generalized Mittag-Leffler function ⋮ Hermite-Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications ⋮ Generalizations and refinements of three-tuple diamond-alpha integral Hölder's inequality on time scales ⋮ On Cauchy-Schwarz inequality for \(N\)-tuple diamond-alpha integral ⋮ Monotonicity properties and bounds involving the two-parameter generalized Grötzsch ring function ⋮ Optimal bounds for Toader mean in terms of general means ⋮ New Hermite-Hadamard type inequalities for \(n\)-polynomial harmonically convex functions ⋮ A new Hermite-Hadamard type inequality for coordinate convex function ⋮ Some Padé approximations and inequalities for the complete elliptic integrals of the first kind ⋮ Answers to three conjectures on convexity of three functions involving complete elliptic integrals of the first kind ⋮ On Grüss inequalities within generalized \(\mathcal{K}\)-fractional integrals ⋮ Precise bounds for the weighted Hölder mean of the complete \(p\)-elliptic integrals ⋮ New properties for the Ramanujan \(R\)-function ⋮ A necessary and sufficient condition for the convexity of the one-parameter generalized inverse trigonometric sine function according to power mean ⋮ Convexity and monotonicity involving the complete elliptic integral of the first kind ⋮ The monotonicity of ratios involving arc tangent function with applications ⋮ NEW GENERALIZATIONS IN THE SENSE OF THE WEIGHTED NON-SINGULAR FRACTIONAL INTEGRAL OPERATOR ⋮ NEW ESTIMATES OF INTEGRAL INEQUALITIES VIA GENERALIZED PROPORTIONAL FRACTIONAL INTEGRAL OPERATOR WITH RESPECT TO ANOTHER FUNCTION ⋮ On new fractional integral inequalities for \(p\)-convexity within interval-valued functions ⋮ A new bound for the Jensen gap pertaining twice differentiable functions with applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities
- Optimal combinations bounds of root-square and arithmetic means for Toader mean
- The Schur harmonic convexity for a class of symmetric functions
- Remarks on John disks
- Generalized elliptic integrals and modular equations
- Inequalities for compound mean iterations with logarithmic asymptotes
- Elliptic integral inequalities with applications
- Inequalities and infinite product formula for Ramanujan generalized modular equation function
- Monotonicity, convexity, and inequalities for the generalized elliptic integrals
- Refinements of transformation inequalities for zero-balanced hypergeometric functions
- Data driven confidence intervals for diffusion process using double smoothing empirical likelihood
- The number and stability of limit cycles for planar piecewise linear systems of node-saddle type
- Optimal Lehmer mean bounds for the Toader mean
- Asymptotical bounds for complete elliptic integrals of the second kind
- Monotonicity criterion for the quotient of power series with applications
- On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities
- Sharp Landen transformation inequalities for hypergeometric functions, with applications
- Hölder mean inequalities for the complete elliptic integrals
- Hölder mean inequalities for the generalized Grötzsch ring and Hersch-Pfluger distortion functions
- Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the Ladies Diary
- Sharp inequalities for the complete elliptic integral of the first kind
- A Monotonicity Property Involving 3F2 and Comparisons of the Classical Approximations of Elliptical Arc Length
- Monotonicity properties and bounds involving the complete elliptic integrals of the first kind
- Global exponential convergence in a delayed almost periodic Nicholson's blowflies model with discontinuous harvesting
- Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function
- Monotonicity and inequalities involving zero-balanced hypergeometric function
- Boundedness of multilinear singular integral operator with non-smooth kernels and mean oscillation
This page was built for publication: Monotonicity, convexity and inequalities involving the generalized elliptic integrals