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Theory of Uniform Approximation of Functions by Polynomials
A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, Weierstraß theorems, smoothness of functions, and continuation of functions.
Mathematical Reviews
None
Recent Progress in Inequalities
This volume is dedicated to the late Professor Dragoslav S. Mitrinovic(1908-1995), one of the most accomplished masters in the domain of inequalities. Inequalities are to be found everywhere and play an important and significant role in almost all subjects of mathematics as well as in other areas of sciences. Professor Mitrinovic used to say: `There are no equalities, even in human life inequalities are always encountered.' This volume provides an extensive survey of the most current topics in almost all subjects in the field of inequalities, written by 85 outstanding scientists from twenty countries. Some of the papers were presented at the International Memorial Conference dedicated to Professor D.S. Mitrinovic, which was held at the University of Nis, June 20-22, 1996. Audience: This book will be of great interest to researchers in real, complex and functional analysis, special functions, approximation theory, numerical analysis and computation, and other fields, as well as to graduate students requiring the most up-to-date results.
Effect of Double Weights on the Constrained Approximation in the Space Lp, p
SUMMARY The book “Effect of double weights on the constraned approximation in the space Lp, p<1” we study double weighted co-positive approximation for functions in Lp,w quasi norm spaces. Many results introduced unconstrained approximation using the k-th order modulus of smoothness. Also very little were introduced in the double weighted spaces. Sometimes we need that the approximation has the same properties of the target function such as positivity, monotonicity, convexity and k- monotonicity. These constrains restrict very much the degree of the best approximation. We introduce direct theorem for co-positive approximation in terms of double weighted modulo of smoothness and we proved that by a negative theorem that the positivity restricts the order of approximation in terms of only. To improve the order of double weighted co-positive approximation we introduce direct theorem and equivalence for the un constrain approximation. We proved that there are certain conditions. We can achieve
Two Dragon Heads
This book explores the contrasting development options available to Beijing and Shanghai and proposes strategies for these cities based on their current and acquired capabilities, experience of other world cities, the emerging demand in the national market, and likely trends in global trade.
Approximation of Periodic Functions
Papers and articles about periodic functions approximation.
Integral, Measure and Derivative
This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.
Random Fields and Geometry
This monograph is devoted to a completely new approach to geometric problems arising in the study of random fields. The groundbreaking material in Part III, for which the background is carefully prepared in Parts I and II, is of both theoretical and practical importance, and striking in the way in which problems arising in geometry and probability are beautifully intertwined. "Random Fields and Geometry" will be useful for probabilists and statisticians, and for theoretical and applied mathematicians who wish to learn about new relationships between geometry and probability. It will be helpful for graduate students in a classroom setting, or for self-study. Finally, this text will serve as a basic reference for all those interested in the companion volume of the applications of the theory.
