AbstractWe establish in a setting of harmonic analysis precise relationships between combinatorial measurements and Orlicz norms. These relationships further extend and sharpen prior results concerning extensions of the Littlewood 2n/(n+1)-inequalities, the n-dimensional Khintchin inequalities, and the Kahane–Khintchin inequality
AbstractThe main topic of the paper is best constants in Markov-type inequalities between the norms ...
AbstractThis paper studies Sobolev type inequalities on Riemannian manifolds. We show that on a comp...
AbstractLet Δn be the simplicial complex of squarefree positive integers less than or equal to n ord...
AbstractFollowing the work in a previous paper, we establish in a setting of harmonic analysis furth...
AbstractLet {Qn(α)(x)}n≥0 denote the sequence of monic polynomials orthogonal with respect to the no...
AbstractWe obtain a Remez-type inequality for a trigonometric polynomial Qn of degree at most n with...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
In the present work we prove some direct theorems of the approximation theory in the weighted Orlicz...
AbstractWe find the condition on a bounded function f under which the Walsh–Fourier series of f conv...
We estimate Fourier coefficients of a Boolean function which has recently been introduced in the stu...
AbstractWe prove that the generalized Trudinger inequalities into exponential and double exponential...
We estimate Fourier coefficients of a Boolean function which has recently been introduced in the stu...
The results of Denisov-Rakhmanov, Szegő-Shohat-Nevai, and Killip-Simon are extended from asymptotica...
AbstractIn this work, we study the coefficients of Bazilevic˘ functions and circularly symmetric fun...
AbstractLet μ be a finite positive Borel measure supported on a compact set of the real line and int...
AbstractThe main topic of the paper is best constants in Markov-type inequalities between the norms ...
AbstractThis paper studies Sobolev type inequalities on Riemannian manifolds. We show that on a comp...
AbstractLet Δn be the simplicial complex of squarefree positive integers less than or equal to n ord...
AbstractFollowing the work in a previous paper, we establish in a setting of harmonic analysis furth...
AbstractLet {Qn(α)(x)}n≥0 denote the sequence of monic polynomials orthogonal with respect to the no...
AbstractWe obtain a Remez-type inequality for a trigonometric polynomial Qn of degree at most n with...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
In the present work we prove some direct theorems of the approximation theory in the weighted Orlicz...
AbstractWe find the condition on a bounded function f under which the Walsh–Fourier series of f conv...
We estimate Fourier coefficients of a Boolean function which has recently been introduced in the stu...
AbstractWe prove that the generalized Trudinger inequalities into exponential and double exponential...
We estimate Fourier coefficients of a Boolean function which has recently been introduced in the stu...
The results of Denisov-Rakhmanov, Szegő-Shohat-Nevai, and Killip-Simon are extended from asymptotica...
AbstractIn this work, we study the coefficients of Bazilevic˘ functions and circularly symmetric fun...
AbstractLet μ be a finite positive Borel measure supported on a compact set of the real line and int...
AbstractThe main topic of the paper is best constants in Markov-type inequalities between the norms ...
AbstractThis paper studies Sobolev type inequalities on Riemannian manifolds. We show that on a comp...
AbstractLet Δn be the simplicial complex of squarefree positive integers less than or equal to n ord...
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