0. Introduction. Throughout this paper T will denote a measure preserving transformation on a cr-finite infinite measure space (X, (B, m) which is point isomorphic with the Lebesgue measure space of the real line. Unless otherwise stated, T will be one-one. Equations involving functions or sets will always be interpreted modulo sets of measure zero. T is said to be ergodic if T~1E = E, ££(B, im...

We analyze the degree of shape preserving weighted polynomial approximation for exponential weights on the whole real line. In particular, we establish a Jackson type estimate. Keywords: Shape Preserving Polynomials, k-Monotone, Exponential Weights, Jackson Theorem, Freud Weights. AMS Classi…cation: 41A29, 41A17 Research supported by NSF grant DMS1001182 and US-Israel BSF grant 2008399 1. Intro...

We show that for every connected analytic subvariety V there is a pseudoconvex set Ω such bounded matrix-valued holomorphic function on extends isometrically to Ω. prove if two discs intersecting at one point, scalar valued Ω, then so does function. In the special case symmetrized bidisc, we this cannot be done by finding linear isometric extension from functions vanish point.

In that paper, the fuzzy nonlinear programming problem is discussed. In order to obtain more accurate solution, the properties of fuzzy set and fuzzy number with linear membership function and fuzzy maximum decision maker is utilized to fuzzifying the crisp problem. In the illustration, we have given a refinement to obtain this solution.