منابع مشابه
On absolute generalized Norlund summability of double orthogonal series
In the paper [Y. Okuyama, {it On the absolute generalized N"{o}rlund summability of orthogonal series},Tamkang J. Math. Vol. 33, No. 2, (2002), 161-165] the author has found some sufficient conditions under which an orthogonal seriesis summable $|N,p,q|$ almost everywhere. These conditions are expressed in terms of coefficients of the series. It is the purpose ofthis paper to extend this result...
متن کاملNotes on Fourier Series
A function or a real variable f is said to be periodic with period P if f(x+ P ) = f(x) holds for all x. Hence, if we know the values of f on an interval of length P , we know its values everywhere. If f is a function defined on an interval [a, b), we can extend f to a function defined for all x which is periodic of period b− a. We simply define f(x) to be f(x+ n(b− a)), where n is the integer ...
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Clearly F ≤ EH ≤ E. On the other hand, given an intermediate field K between F and E, i.e. a subfield of E containing F , so that F ≤ K ≤ E, we can define Gal(E/K) and Gal(E/K) is clearly a subgroup of Gal(E/F ), since if σ(a) = a for all a ∈ K, then σ(a) = a for all a ∈ F . Thus we have two constructions: one associates an intermediate field to a subgroup of Gal(E/F ), and the other associates...
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In this paper, we prove two theorems on ∣A∣k, 1 ≤ k ≤ 2, summability of orthogonal series. The first one gives a sufficient condition under which an orthogonal series is absolutely summable almost everywhere, and the second one, is a general theorem, which also gives a sufficient condition so that an orthogonal series is absolutely summable almost everywhere, but it involves a positive numerica...
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6. Urinary tract infections.?In acute cystitis and pyelitis and in chronic infection due to coli bacilli sulphanilamide is adequate but sulphacetamide has been particularly recommended because of its high solubility in urine. Its sodium salt (albucid soluble) may be injected intravenously in 30 per cent solution. Sulphathiazole or sulphadiazine may be given in resistant cases. The average daily...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1936
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-6-1-112-116