𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The generalized Marcinkiewicz-Zygmund inequality for trigonometric polynomials

✍ Scribed by Yuan Xu


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
399 KB
Volume
161
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the best constant in Marcinkiewicz–Zy
✍ Yao-Feng Ren; Han-Ying Liang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 97 KB

In this paper we prove that [C(p)] 1=p grows like √ p as p β†’ ∞ and give an estimate C(p) 6 (3 √ 2) p p p=2 .

Some Zygmund type Lq inequalities for po
✍ A. Aziz; N.A. Rather πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 215 KB

Let p(z) be a polynomial of degree n which does not vanish in |z| < k. It is known that for each q > 0 and k 1, In this paper, we present a refinement of this inequality which besides yielding some interesting results as corollaries, includes some well-known results as special cases. We also consid

On Marcinkiewicz-Zygmund Type Inequaliti
✍ K. V. Runovskii; H. J. Schmeisser πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 432 KB

An equivalence of a discrete norm and a continuous norm of a trigonometric polynomial is proved for the cme of irregular knots in L, -spaces, where 0 < p 5 +m. ## 1. Introduction Theorems on equivalent norms of trigonometric polynomials in certain metrics have many applications in the modern theor