On the coefficients in Fourier-Stieltjes series with norm-bounded partial sums
On the comparison of trigonometric convolution operators with their discrete analogues for Riemann integrable functions.
On the composition of the integral and derivative operators of functional order
The Integral, , and Derivative, , operators of order , with a function of positive lower type and upper type less than , were defined in [HV2] in the setting of spaces of homogeneous-type. These definitions generalize those of the fractional integral and derivative operators of order , where , given in [GSV]. In this work we show that the composition is a singular integral operator. This result in addition with the results obtained in [HV2] of boundedness of and or the -theorems proved...
On the computation of scaling coefficients of Daubechies' wavelets
In the present paper, Daubechies' wavelets and the computation of their scaling coefficients are briefly reviewed. Then a new method of computation is proposed. This method is based on the work [7] concerning a new orthonormality condition and relations among scaling moments, respectively. For filter lengths up to 16, the arising system can be explicitly solved with algebraic methods like Gröbner bases. Its simple structure allows one to find quickly all possible solutions.
On the conjecture of Gát.
On the constant in Meńshov-Rademacher inequality.
On the Constant in the Littlewood Problem.
On the convergence and summability of -dimensional Fourier series with respect to the Walsh-Paley systems in the spaces , .
On the convergence and summability of series with respect to block-orthonormal systems.
On the convergence in L¹ of singular integrals
On The Convergence Of A Lacunary Fourier Series And It's Conjugate Series
On the convergence of a lacunary Fourier series and its conjugate series.
On the convergence of biorthogonal series corresponding to nonselfadjoint Sturm-Liouville operator with discontinuous coefficients.
On the convergence of Fourier series.
On the convergence of moments in the CLT for triangular arrays with an application to random polynomials
We give a proof of convergence of moments in the Central Limit Theorem (under the Lyapunov-Lindeberg condition) for triangular arrays, yielding a new estimate of the speed of convergence expressed in terms of νth moments. We also give an application to the convergence in the mean of the pth moments of certain random trigonometric polynomials built from triangular arrays of independent random variables, thereby extending some recent work of Borwein and Lockhart.
On the convolution of a probability measure.
On the (C,α≥0,β≥0)-summability of double orthogonal series
On the decay properties of the Franklin analyzing wavelet
On the degree of approximation by Gauss Weierstrass integrals.
On the Degree of Approximation by the Operators of de la Vallée Poussin.