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Chebyshev Splines and Kolmogorov Inequalities
ISBN: 9783764359843 / Angielski / Twarda / 1998 / 224 str. Termin realizacji zamówienia: ok. 10-14 dni roboczych. This monograph describes advances in the theory of extremal problems in classes of functions defined by a majorizing modulus of continuity w. In particular, an extensive account is given of structural, limiting, and extremal properties of perfect w-splines generalizing standard polynomial perfect splines in the theory of Sobolev classes. In this context special attention is paid to the qualitative description of Chebyshev w-splines and w-polynomials associated with the Kolmogorov problem of n-widths and sharp additive inequalities between the norms of intermediate derivatives in functional... This monograph describes advances in the theory of extremal problems in classes of functions defined by a majorizing modulus of continuity w. In pa... |
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Chebyshev Splines and Kolmogorov Inequalities
ISBN: 9783034897815 / Angielski / Miękka / 2013 / 210 str. Termin realizacji zamówienia: 22 dni roboczych Since the introduction of the functional classes HW (lI) and WT HW (lI) and their peri- odic analogs Hw (1I') and (1I'), defined by a concave majorant w of functions and their rth derivatives, many researchers have contributed to the area of ex- tremal problems and approximation of these classes by algebraic or trigonometric polynomials, splines and other finite dimensional subspaces. In many extremal problems in the Sobolev class W (lI) and its periodic ana- log W (1I') an exceptional role belongs to the polynomial perfect splines of degree r, i.e. the functions whose rth derivative takes on...
Since the introduction of the functional classes HW (lI) and WT HW (lI) and their peri- odic analogs Hw (1I') and (1I'), defined by a concave majorant...
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