Series and Their Convergence
On Convergence of Series Involving Basic Hypergeometric Series
... Correspondence should be addressed to Mingjin Wang, [email protected] Received 18 December 2008; Accepted 24 March 2009 Recommended by Ondrej Dosly We use inequality technique and the terminating case of the q-binomial ...
9
Convergence of Infinite Series - A Review
... the convergence or divergence of infinite ...the convergence or divergence of a series, there are various methods like Power Test, Comparison Test, Root Test, Ratio Test, Gauss Test ...
5
ON THE CONVERGENCE OF DIRICHLET SERIES WITH RANDOM EXPONENTS
... Roters, Convergence of random power series with pairwise indepen- dent Banach-space-valued coefficients, Statistics and Probability Letters , 18 (1993), 121–123. [18] L.O[r] ...
10
CiteSeerX — CONVERGENCE OF RANDOM FOURIER SERIES
... Fourier Series with random ...Fourier series on the torus and give some of the most important ...the convergence or divergence of general random ...Fourier series, and we combine results from ...
20
On L1 convergence of Walsh Fourier series
... Walsh-Fourier Series, Convergence in norm, Dini-Lipschltz-type test. AMS(MOS) SUBJECT CLASSIFICATION (1970).[r] ...
10
Convergence of p series revisited with applications
... which shows that the sequence of the partial sums of the p-series is bounded above. Since it is also increasing as the sum of positive numbers, it is convergent. This concludes the proof of the convergence ...
8
Alternative Fourier Series Expansions with Accelerated Convergence
... Fourier series expansions have been presented in an effort of better representing a sufficiently smooth function in a compact ...The series expansions can take various forms, resulting in different rates of ...
23
Regional convergence in Italy: time series approaches
... regional convergence, the analysis is complicated because of the economies’ instabilities and cyclical fluctuactions (Quah, 1992; Eckey ...time series methodologies which use all the information rather than ...
20
ANALYTICAL METHODS OF AMELIORATION OF CONVERGENCE OF REELS NUMERICALS SERIES
... the convergence of a real digital series; it calculates the sum of the first n ...the series converges and it converges to S; if this limit doesn’t exist or is infinite, then the series ...
17
Investigating Convergence of the U.S. Regions: A Time-Series Analysis
... toward convergence and esti- mates of β-term become ...-stationary series is permanently affected by shocks whereas a stationary series will, over time, continually revert back to its mean or ...
22
Convergence and stability of the inverse scattering series for diffuse waves
... scattering series for diffuse waves in random ...inverse series was used to develop fast, direct image reconstruction algorithms in optical ...the convergence, stability and approximation error of ...
19
Pointwise and uniform convergence of fourier series on SU(2)
... uniform convergence of Fourier series on SU(2) and spheres and show how the results of this thesis t into the previous body of ...ing convergence theory for Fourier series in SU(2), some of ...
162
THE CONVERGENCE OF POWER AND FLEXIBILITY. OfficeServ 7000 Series Enterprise IP Communication Solutions Series
... 7000 SERIES, THE IMAGINED IS NOW A REALITY Unleash the power of your business with the multitasking technology of Samsung’s OfficeServ 7000 ...of convergence into the hands of today’s growing ...
8
ON \(\Lambda\)-CONVERGENCE ALMOST EVERYWHERE OF MULTIPLE TRIGONOMETRIC FOURIER SERIES
... of convergence of multiple trigonometric Fourier series intermediate between the convergence over cubes and the λ-convergence for λ > ...everywhere convergence over cubes of Fourier ...
8
A Tiling Lemma and Its Application to the Ratio Test for Convergence of Series
... for convergence of ...a series converges, the Root Test would also yield this ...the convergence of some series for which the Root Test will not yield conclusive ...
5
On the convergence properties of basic series representing Clifford valued functions
... Then the lemma follows. 3. Aim of the work. The purpose of this note is to study the convergence properties of a basic series representing entire special monogenic functions, not necessary in the whole of R ...
10
Basic Fourier series on a q-linear grid: Convergence theorems
... uniform convergence of q-Fourier series ...Fourier series, we used the identity ...the convergence of the series and it is well known that changing a finite number of terms do not ...
18
A new convergence analysis for the Volterra series representation of nonlinear systems
... Volterra series; NARX model; Nonlinear systems; Convergence criterion; ...Volterra series has been widely applied in analysing nonlinear systems (Boaghe & Billings, 2003; Wang, & Mortazawi, ...
11
Trade Liberalization and Regional Income Convergence in Mexico: a Time-Series Analysis
... cross-section convergence notion is weaker than that of the τ - convergence; evidence of a negative relationship between growth rates and initial income levels cannot be taken as evidence of income ...
16
Trade liberalization and regional income convergence in Mexico: a time series analysis
... cross-section convergence notion is weaker than that of the τ - convergence; evidence of a negative relationship between growth rates and initial income levels cannot be taken as evidence of income ...
17