An application of power increasing sequences to infinite series and fourier series
نویسندگان
چکیده
منابع مشابه
Power-monotone Sequences and Fourier Series with Positive Coefficients
J. Németh has extended several basic theorems of R. P. Boas Jr. pertaining to Fourier series with positive coefficients from Lipschitz classes to generalized Lipschitz classes. The goal of the present work is to find the common root of known results of this type and to establish two theorems that are generalizations of Németh’s results. Our results can be considered as sample examples showing t...
متن کاملDetermination of a jump by Fourier and Fourier-Chebyshev series
By observing the equivalence of assertions on determining the jump of a function by its differentiated or integrated Fourier series, we generalize a previous result of Kvernadze, Hagstrom and Shapiro to the whole class of functions of harmonic bounded variation. This is achieved without the finiteness assumption on the number of discontinuities. Two results on determination of ...
متن کاملInfinite Products for Power Series
An algorithm is introduced and shown to lead to a unique infinite product representation for a given formal power series A(z) with A(O)= 1. The infinite product is 1; n (1 + b,z'n)> " =I
متن کاملNotes on Infinite Sequences and Series
We represent a generic sequence as a 1 , a 2 , a 3 ,. .. , and its n-th as a n. In order to define a sequence we must give enough information to find its n-th term. Two ways of doing this are: 1. With a formula. E.g.: a n = 1 n a n = 1 10 n a n = √ 3n − 7 2. With a recursive definition. 1.2. Limit of a Sequence. We say that a sequence a n converges to a limit L if the difference |a n − L| can b...
متن کاملPower and RMS Values of Fourier Series
1 . Average power Let us consider the transmission of energy from a source to a load, through a given surface as in Fig. 1. In the network of Fig. 1, the voltage waveform v(t) (not necessarily sinusoidal) is given by the source, and the current waveform is determined by the response of the load. In the more general case in which the source output impedance is significant, then v(t) and i(t) bot...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2017
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1706543b