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Pointwise Estimate for Szasz-Type Operators

✍ Scribed by Shunsheng Guo; Cuixiang Li; Yiguo Sun; Ge Yang; Shujie Yue

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
240 KB
Volume
94
Category
Article
ISSN
0021-9045

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✦ Synopsis

For combinations of modified Szasz operators D. X. Zhou gave two equivalent relations by means of the classical modulus. In this paper we extend these results by the Ditzian Totik modulus of smoothness.

πŸ“œ SIMILAR VOLUMES

Pointwise Estimate for Linear Combinatio
Pointwise Estimate for Linear Combinations of Bernstein–Kantorovich Operators
✍ Shunsheng Guo; Lixia Liu; Qiulan Qi πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 115 KB

For linear combinations of Bernstein-Kantorovich operators K n r f x , we give an equivalent theorem with Ο‰ 2r Ο• Ξ» f t . The theorem unites the corresponding results of classical and Ditzian-Totik moduli of smoothness.

Norm estimates for a Kakeya-type maximal
Norm estimates for a Kakeya-type maximal operator
✍ Themis Mitsis πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 120 KB

## Abstract We prove __L__^__p__^ β†’ __L__^__q__^ estimates for the 2‐dimensional analog of the Kakeya maximal function. (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)