Indexing
All Issues
Submission
Author Guidelines
Reviewers
Editorial Members
Publication Fee
Vol.2 , No. 3, Publication Date: Apr. 25, 2015, Page: 35-39
| [1] | M. U. Yakhshiboev, Samarkand branch of Tashkent University of Informational Technology, Samarkand, UZBEKIS. |
In this paper it is studied equivalent norms in the Nikolskii-Besov spaces containing multiplicative differences of fractional order.
Keywords
Multiplicative Difference Operators, Nikolskii-Besov Spaces, Norms Equivalent
Reference
| [01] | S.M. Nikol'skii. Approximation of functions of many variables and embedding theorems, Nauka, Moscow (in Russian). |
| [02] | O.V. Besov, V.P. Il'in, S.M. Nikol'skii.Integral Representions of Functions and Embedding Theorems. Nauka, Moscow (1975)(in Russian). |
| [03] | S.G. Samko, M.U. Yahshiboev. Multi – dimensional fractional differentiation, invariant with respect to strain in terms of fractional differences. Rostov na Donu, 1991. p. 55. Dep. VINIII 29.12.91, N 4901 - B 91. |
| [04] | H.S. Shapir. A Taubertion theorem related to approximate on theory. Acta Math., 1968, v. 120, p. 279 - 292. |
| [05] | J. Boman, H.S. Shapiro. Comparison theorema for a generalizad modulus of continuity. Ball. Amer. Math - Soc., 1969, v. 75, N 6, p. 1266 - 1268. |
| [06] | P.L. Butrer, U. Westphal. An access to fractional differentiation via fractional difference quotients. In "Fractional calculus and its applications" Lecture Notes in Math, 1975, N 475, p. 116-145. |
| [07] | Ya.S. Bugorov. Fractional difference operators and function classes, Proc. MIAS USSR, 1985, v. 1970 (in Russian). |
| [08] | K.K. Golovnin. On equivalent normalization of fractional spaces. Proc. MIAS USSR, 1962, v. 66, pp. 364-383, (in Russian). |
| [09] | V.I. Burenkov, Sh.D. Sobnak. On equivalent norms in Nikolskii – Besov spaces containing differences of fractional order. Boundary problems of mathematical physics and some problems of the theory of functional spaces. Collected papers, Editor V. N. Maslennikova, Moscow, UDN, 1985, p. 142. |
