InequalitiesCambridge University Press, 1952 - 324 σελίδες This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and lucidly both the statement and proof of all the standard inequalities of analysis. The authors were well-known for their powers of exposition and made this subject accessible to a wide audience of mathematicians. |
Περιεχόμενα
INTRODUCTION | 1 |
2 | 13 |
MEAN VALUES WITH AN ARBITRARY | 65 |
6 | 71 |
1 | 114 |
INTEGRALS | 126 |
SOME APPLICATIONS OF | 172 |
BILINEAR AND MULTILINEAR FORMS | 196 |
The convexity theorem for positive multi | 203 |
1 | 227 |
Miscellaneous theorems and examples | 295 |
On Hilberts inequality | 306 |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a₁ a₂ applications argument asserts b₁ best possible bilinear Calculus of Variations consider constant continuous and strictly convergent convex function corresponding curve decreasing deduce Theorem defined definition denote effectively proportional equality equation example finite number follows from Theorem Fourier series generalisations give Hardy and Littlewood Hence Hilbert's Hölder's inequality homogeneous increasing function interval Lebesgue Lebesgue integrals limit maximum means Minkowski's inequality monotonic functional multilinear forms necessary and sufficient non-negative null set obtain P₁ Pólya positive and finite proof of Theorem prove Theorem proves the theorem rearrangement remarks replace result Riesz satisfied Schur similarly Stieltjes integral strictly monotonic strictly positive sufficient condition summation symmetrical Theorem 13 Theorem 9 theorem concerning theory true unless upper bound values W. H. Young write x₁ zero α₂ Σ Σ Σα ΣΣ
Αναφορές για αυτό το βιβλίο
Discriminants, Resultants, and Multidimensional Determinants Izrailʹ Moiseevich Gelʹfand,Mikhail M. Kapranov,Andrey V. Zelevinsky Δεν υπάρχει διαθέσιμη προεπισκόπηση - 1994 |
An Introduction to the Mathematical Theory of the Navier-Stokes Equations ... Giovanni P. Galdi Περιορισμένη προεπισκόπηση - 1998 |