FOREWORD - Theory of Approximation of Functions of a Real VariableELSEVIERTheory of Approximation of Functions of A Real Variable
The first five chapters were occupied with the theory of aggregates, the general theory of functions, and the theory of integration, while the last two dealt with the theory of series, and in particular with Fourier's series. It is the first five chapters which have developed into the ...
The Theory of Functions of a Real Variable and the Theory of Fourier Series, Third Edition - Hobson - 1927 () Citation Context ...x K) Let J= [a, b] and K= [c, d] be two fixed intervals in lit The notation of variation for a complex-valued function defined on JxK used here ...
Originally published in two volumes, this long out-of-print work by a prominent Soviet mathematician presents a thorough examination of the theory of functions of a real variable. Intended for advanced undergraduates and graduate students of mathematics, the treatment offers a clear account of integra...
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theoryvariabletheoremrealfunctionshilbert Theoryoffunctionsofarealvariable.ShlomoSternbergMay10,20052Introduction.Ihavetaughtthebeginninggraduatecourseinrealvariablesandfunctionalanalysisthreetimesinthelastfiveyears,andthisbookistheresult.Thecourseassumesthatthestudenthasseenthebasicsofrealvariabletheoryandpointsettopology...
A.F Timan Theory of Approximation of Functions of a Real Variable Pergamon/Macmillan Co, New York (1963) Google Scholar [Tu1] P Turán On the zeros of the polynomials of Legendre Câsopis Pêst. Mat. a Fys., 75 (1950), pp. 113-122 CrossrefGoogle Scholar [Tu2] P Turán On some ...
Real VariablesVariationsIn this more difficult stage of calculus, we turn from the functions 'of one variable', which have so far occupied us, to functions 'of several variables'. There are two important reasons for the difficulties: first, the material studied is more complicated, and second,...
5. G is a set o f non-constant functions o f the real variable r o f the form f(x)=ax+b, a and b are real numbers, and G has the following properties:(a) I f f and g are in G, then g. f is in G, h ere(g^of)(x)=g[f(x)] .(b) I f f is in G, then ...
nicely and so is quite properly a part of it. When needed we refer to the Appendix for backround material. These fall into four categories, countability and decimal expansions, Cal- culus in one variable, uniform convergence and Linear Algebra. The re- sults on countability can be found [...