Inequalities Involving Functions and Their Integrals and DerivativesOne service mathematics has rendered the ~l moil ... , Ii j'avait su comment en revenir, je n'y serais point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'(ftre of this series. |
Other editions - View all
Inequalities Involving Functions and Their Integrals and Derivatives Dragoslav S Mitrinovic,J Pecaric,A M Fink No preview available - 1991 |
Inequalities Involving Functions and Their Integrals and Derivatives Dragoslav S. Mitrinovic,J. Pecaric,A.M Fink No preview available - 2012 |
Common terms and phrases
absolutely continuous Acad Amer Anal Appl Aširov Atdaev b₁ Banach space best possible constant bounded Čaplygina considered continuous function convex convex function derivatives differentiable function differential equations differential inequalities differential operators discrete inequalities equality holds finite following inequality following result function ƒ functions defined G. H. Hardy given Gronwall's inequality Hardy Hardy's inequality Hilbert Hölder's inequality Iaşi inequalities involving integral inequalities interval J. E. LITTLEWOOD J. E. Pečarić lemma Let f Let ƒ London Math Mamedov MILOVANOVIĆ MITRINOVIĆ monotonic Nauk neravenstva nondecreasing nonlinear nonnegative norm obtained Opial's inequality Pachpatte Pólya polynomial positive Proc proof proved the following real numbers related results REMARK Russian satisfies sequence solution Suppose t₁ Tamkang type inequalities Univ uo(t valid variables Wirtinger Wirtinger's inequality zero ΣΣ