It takes the average reader 2 hours and 29 minutes to read Bernstein Polynomials by G. G. Lorentz
Assuming a reading speed of 250 words per minute. Learn more
Bernstein polynomials are a remarkable family of polynomials associated to any given function on the unit interval. Their first notable appearance was in Bernstein's proof of the Weierstrass approximation theorem. This book gives an exhaustive exposition of the main facts about the Bernstein polynomials and discusses some of their applications in analysis. The first three chapters of the book give an introduction to a theory of singular integrals by means of the particular instance of Bernstein polynomials. The author writes in the preface to this second edition, "After the trigonometric integrals, Bernstein polynomials are the most important and interesting concrete operators on a space of continuous functions. Since the appearance of the first edition of this book [in 1953], the interest in this subject has continued. In an appendix we have summed up a few of the most important papers that have appeared since."
Bernstein Polynomials by G. G. Lorentz is 146 pages long, and a total of 37,376 words.
This makes it 49% the length of the average book. It also has 46% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 24 minutes to read Bernstein Polynomials aloud.
Bernstein Polynomials is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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