عنوان

Multiplicative inequalities of Carlson type and interpolation /

شابک

1281919241

شابک

9781281919243

شابک

9789812567086

شابک

9789812774002

شابک

9812567089

شابک

9812774009

شابک اشتباه

9812567089

شماره

b751871

عنوان اصلي

Multiplicative inequalities of Carlson type and interpolation /

نام عام مواد

[Book]

نام نخستين پديدآور

Leo Larsson [and others].

محل نشرو پخش و غیره

New Jersey :

نام ناشر، پخش کننده و غيره

World Scientific,

تاریخ نشرو بخش و غیره

©2006.

نام خاص و کميت اثر

1 online resource (xiv, 201 pages) :

ساير جزييات

illustrations

متن يادداشت

Includes bibliographical references (pages 193-197) and index.

متن يادداشت

Preface -- 0. Introduction and notation. 0.1. Notational conventions -- 1. Carlson's inequalities. 1.1. Carlson's proof. 1.2. Hardy's proofs. 1.3. An alternate proof. 1.4. Carlson's inequality for finite sums -- 2. Some extensions and complements of Carlson's inequalities. 2.1. Gabriel. 2.2. Levin. 2.3. Caton. 2.4. Bellman. 2.5. Two discrete Carlson by-products. 2.6. Landau and Levin-Stec̮kin. 2.7. Some extensions of the Landau and Levin-Stec̮kin inequalities. 2.8. Proofs. 2.9. Levin-Godunova. 2.10. More about finite sums -- 3. The continuous case. 3.1. Beurling. 3.2. Kjellberg. 3.3. Bellman. 3.4. Sz. Nagy. 3.5. Klefsjö. 3.6. Hu. 3.7. Yang-Fang. 3.8. A continuous Landau type inequality. 3.9. Integrals on bounded intervals -- 4. Levin's theorem -- 5. Some multi-dimensional generalizations and variations. 5.1. Some preliminaries. 5.2. A sharp inequality for cones in [symbol]. 5.3. Some variations on the multi-dimensional theme. 5.4. Some further generalizations -- 6. Some Carlson type inequalities for weighted Lebesgue spaces with general measures. 6.1. The basic case. 6.2. The product measure case -- two factors. 6.3. The general product measure case -- 7. Carlson type inequalities and real interpolation theory. 7.1. Interpolation of normed spaces. 7.2. The real interpolation method. 7.3. Embeddings of real interpolation spaces -- 8. Further connection to interpolation theory, the Peetre [symbol] method. 8.1. Introduction. 8.2. Carlson type inequalities as sharpenings of Jensen's inequality. 8.3. The Peetre interpolation method and interpolation of Orlicz spaces. 8.4. A Carlson type inequality with blocks. 8.5. The Calderón-Lozanovskiǐ construction on Banach lattices -- 9. Related results and applications. 9.1. A generalization of Redheffer. 9.2. Sobolev type embeddings. 9.3. A local Hausdorff-Young inequality. 9.4. Optimal sampling. 9.5. More on interpolation, the Peetre parameter theorem. 9.6. Carlson type inequalities with several factors. 9.7. Reverse Carlson type inequalities. 9.8. Some further possibilities. 9.9. Necessity in the case of a general measure.

بدون عنوان

0

متن يادداشت

This unique volume contains a selection of more than 80 of Yuval Ne'eman's papers, which represent his huge contribution to a large number of aspects of theoretical physics. The works span more than four decades, from unitary symmetry and quarks to questions of complexity in biological systems and evolution of scientific theories. In keeping with the major role, Ne'eman has played in theoretical physics over the last 40 years, a collaboration of very distinguished scientists enthusiastically took part in this volume. Their commentary supplies a clear framework and background for appreciating Yuval Ne'eman's significant discoveries and pioneering contributions.

متن يادداشت

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

عنوان

Multiplicative inequalities of Carlson type and interpolation.

موضوع مستند نشده

Inequalities (Mathematics)

موضوع مستند نشده

Interpolation.

موضوع مستند نشده

Numerical analysis.

موضوع مستند نشده

Inequalities (Mathematics)

موضوع مستند نشده

Interpolation.

موضوع مستند نشده

MATHEMATICS-- Calculus.

موضوع مستند نشده

MATHEMATICS-- Mathematical Analysis.

موضوع مستند نشده

Numerical analysis.

موضوع مستند نشده

MAT-- 005000

موضوع مستند نشده

MAT-- 034000

موضوع مستند نشده

PH

شماره

ويراست

شماره رده

نشانه اثر

شماره رده

کد سيستم

مستند نام اشخاص تاييد نشده

Larsson, Leo,1972-

تاريخ عمليات

20201204113242.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y