Asymptotic behavior of restricted extremal polynomials and of their zeros
نویسندگان
چکیده
منابع مشابه
Varying discrete Laguerre-Sobolev orthogonal polynomials: Asymptotic behavior and zeros
We consider a varying discrete Sobolev inner product involving the Laguerre weight. Our aim is to study the asymptotic properties of the corresponding orthogonal polynomials and of their zeros. We are interested in Mehler–Heine type formulas because they describe the asymptotic differences between these Sobolev orthogonal polynomials and the classical Laguerre polynomials. Moreover, they give u...
متن کاملTopics in polynomials - extremal problems, inequalities, zeros
Where you can find the topics in polynomials extremal problems inequalities zeros easily? Is it in the book store? On-line book store? are you sure? Keep in mind that you will find the book in this site. This book is very referred for you because it gives not only the experience but also lesson. The lessons are very valuable to serve for you, that's not about who are reading this topics in poly...
متن کاملarchitecture and engineering of nanoscale sculptured thin films and determination of their properties
چکیده ندارد.
15 صفحه اولasymptotic property of order statistics and sample quntile
چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...
15 صفحه اولThe Distribution of Zeros of Asymptotically Extremal Polynomials
In this paper, we study the asymptotic behavior of the zeros of a sequence of polynomials whose weighted norms have the same n th root behavior as the weighted norms for certain cxtrcmal polynomials. Our results include as special cases several of the previous results of ErdGs, Freud, Jentzsch, Szego and Blatt, Saff, and Simkani. Applications are given concerning the zeros of orthogonal polynom...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1957
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1957.7.1037