AbstractIn this paper, for the ultraspherical polynomials P(λ)n, we investigate inequalities of the type (sinθ)γ|P(λ)n(cosθ)|⩽M,λ⩾1. Applying the results to linear functionals, we obtain new estimates, in particular, for the remainder term in Gaussian quadrature
In this paper, sharp upper limit for the zeros of the ultraspherical polynomials are obtained via a ...
AbstractIn the present work, some general relations between Jacobi and ultraspherical polynomials ar...
We characterize the class of ultraspherical polynomials in between all symmetric orthogonal polynomi...
AbstractWe present a survey of the most recent results and inequalities for the gamma function and t...
AbstractIn this paper, for the ultraspherical polynomials P(λ)n, we investigate inequalities of the ...
AbstractLet Mn(λ) = (n + λ)1 − λ max0⩽θ⩽π(sin θ)λ¦Pn(λ)(cos θ)¦, where Pn(λ)(x) is the ultraspherica...
We study the uniformly bounded orthonormal systemU of functions u n (x) = ()n (cos x)(sin x), x ∈ [...
AbstractWe study the uniformly bounded orthonormal system Uλ of functions un(λ)(x)=ϕn(λ)(cosx)(sinx)...
22 pages, no figures.-- MSC2000 codes: 41A10; 41A17; 41A25; 42C10; 33C45.MR#: MR2129477 (2005k:41087...
22 pages, no figures.-- MSC2000 codes: 41A10; 41A17; 41A25; 42C10; 33C45.MR#: MR2129477 (2005k:41087...
In this paper, new refinements and improvements of Mitrinović–Cusa’s and related inequalities are pr...
AbstractWe show that[formula]in the uniform norm for every real algebraic polynomialfof degreenwhich...
AbstractLet (P(α)n)nϵN0 be the ultraspherical polynomials normalized by P(α)n(1) = 1, and let(Pn)nϵN...
AbstractLet Mn(λ) = (n + λ)1 − λ max0⩽θ⩽π(sin θ)λ¦Pn(λ)(cos θ)¦, where Pn(λ)(x) is the ultraspherica...
AbstractIn this paper we prove several inequalities for polynomials and trigonometric polynomials. T...
In this paper, sharp upper limit for the zeros of the ultraspherical polynomials are obtained via a ...
AbstractIn the present work, some general relations between Jacobi and ultraspherical polynomials ar...
We characterize the class of ultraspherical polynomials in between all symmetric orthogonal polynomi...
AbstractWe present a survey of the most recent results and inequalities for the gamma function and t...
AbstractIn this paper, for the ultraspherical polynomials P(λ)n, we investigate inequalities of the ...
AbstractLet Mn(λ) = (n + λ)1 − λ max0⩽θ⩽π(sin θ)λ¦Pn(λ)(cos θ)¦, where Pn(λ)(x) is the ultraspherica...
We study the uniformly bounded orthonormal systemU of functions u n (x) = ()n (cos x)(sin x), x ∈ [...
AbstractWe study the uniformly bounded orthonormal system Uλ of functions un(λ)(x)=ϕn(λ)(cosx)(sinx)...
22 pages, no figures.-- MSC2000 codes: 41A10; 41A17; 41A25; 42C10; 33C45.MR#: MR2129477 (2005k:41087...
22 pages, no figures.-- MSC2000 codes: 41A10; 41A17; 41A25; 42C10; 33C45.MR#: MR2129477 (2005k:41087...
In this paper, new refinements and improvements of Mitrinović–Cusa’s and related inequalities are pr...
AbstractWe show that[formula]in the uniform norm for every real algebraic polynomialfof degreenwhich...
AbstractLet (P(α)n)nϵN0 be the ultraspherical polynomials normalized by P(α)n(1) = 1, and let(Pn)nϵN...
AbstractLet Mn(λ) = (n + λ)1 − λ max0⩽θ⩽π(sin θ)λ¦Pn(λ)(cos θ)¦, where Pn(λ)(x) is the ultraspherica...
AbstractIn this paper we prove several inequalities for polynomials and trigonometric polynomials. T...
In this paper, sharp upper limit for the zeros of the ultraspherical polynomials are obtained via a ...
AbstractIn the present work, some general relations between Jacobi and ultraspherical polynomials ar...
We characterize the class of ultraspherical polynomials in between all symmetric orthogonal polynomi...
DOI
Add to ORKG