Estimates of Functions, Orthogonal to Piecewise Constant Functions, in Terms of the Second Modulus of Continuity
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-4008-5
Abstract: The paper is devoted to the problem of finding the exact constant W2∗$$ {W}_2^{\ast } $$ in the inequality ‖f‖ ≤ K ⋅ ω2(f, 1) for bounded functions f with the property∫kk+1fxdx=0,k∈ℤ.$$ \underset{k}{\overset{k+1}{\int }}f(x) dx=0,\kern0.5em k\in \mathrm{\mathbb{Z}}. $$Our approach allows… read more here.
Keywords: piecewise constant; functions orthogonal; functions terms; orthogonal piecewise ... See more keywords
Estimates of Functions with Transformed Double Fourier Series
Sign Up to like & getrecommendations! Published in 2021 at "Studia Scientiarum Mathematicarum Hungarica"
DOI: 10.1556/012.2021.58.1.1478
Abstract: The paper provides a detailed study of inequalities of complete moduli of smoothness of functions with transformed Fourier series by moduli of smoothness of initial functions. Upper and lower estimates of the norms and best… read more here.
Keywords: transformed double; functions transformed; double fourier; fourier series ... See more keywords