In the present paper we introduce Poisson type integrals for orthogonal expansions. We first give some direct computations for the moments and compute the rates of convergence by means of the modulus ...
Let f(x) denote a complex valued function with period 2Ï€, let $P_r(f, x) = \frac{1}{2\pi}\int^\pi_{-\pi}\frac{1 - r^2)f(y)dy}{1 - 2r \cos(x - y) + r^2}$ be the ...
Hardy-type inequalities and the associated operators form a cornerstone of modern analysis, providing robust methods to estimate function norms through integral inequalities. These results are not ...
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