Results 41 to 50 of about 610,583 (235)
Tauberian-type theorems with application to the Stieltjes transformation
In the first part, we define the space L'(r) and the modified Stieltjes transformation introduced by Lavoine and Misra (1979) and Marichev (1983), respectively.
S. B. Gaikwad, M. S. Chaudhary
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Tauberian Remainder Theorems for the Weighted Mean Method of Summability
Using the weighted general control modulo, we prove several Tauberian remainder theorems for the weighted mean method of summability. Our results generalize the results proved by Meronen and Tammeraid [Math. Model. Anal. 18 (1) 2013, 97–102].
Sefa Anil Sezer, Ibrahim Canak
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On the Euler method of summability and concerning Tauberian theorems
For any two regular summability methods (U) and (V), the condition under which V-limx_n=λ implies U-limx_n=λ is called a Tauberian condition and the corresponding theorem is called a Tauberian theorem.
İbrahim Çanak, Sefa Anıl Sezer
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On PNT equivalences for Beurling numbers [PDF]
In classical prime number theory several asymptotic relations are considered to be "equivalent" to the prime number theorem. In the setting of Beurling generalized numbers, this may no longer be the case.
Debruyne, Gregory, Vindas Diaz, Jasson
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We solve crossing equations analytically in the deep Euclidean regime. Large scaling dimension ∆ tails of the weighted spectral density of primary operators of given spin in one channel are matched to the Euclidean OPE data in the other channel ...
Baur Mukhametzhanov, Alexander Zhiboedov
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On a method for inverse theorems for (C,1) and gap (C,1) summability
A simple method for proving several theorems of Tauberian and Mercerian type for (C,1) and gap (C,1) summability is presented.
Vojislav Maric, Miodrag Tomic
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Some Tauberian Remainder Theorems for Holder Summability
In this paper, we prove some Tauberian remainder theorems that generalize the results given by Meronen and Tammeraid [Math. Model. Anal., 18(1):97– 102, 2013] for Holder summability method using the notion of the general control modulo of the oscillatory
Umit Totur, Muhammet Ali Okur
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Tauberian theorems under statistically Nörlund-Cesáro summability method
And C n− Cesáro summability method. Let (xn) be a sequence of real or complex numbers and set N p,qC 1 n := 1 Rn n ∑ k=0 pkqn−k 1 k+1 k ∑ v=0 xv for n∈N. In this paper, we present necessary and sufficient conditions under which the existence of the limit
N. Braha
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On statistical A $\mathfrak{A}$ -Cauchy and statistical A $\mathfrak{A}$ -summability via ideal
The notion of statistical convergence was extended to I $\mathfrak{I}$ -convergence by (Kostyrko et al. in Real Anal. Exch. 26(2):669–686, 2000). In this paper we use such technique and introduce the notion of statistically A I $\mathfrak{A}^{\mathfrak{I}
Osama H. H. Edely, M. Mursaleen
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On Wiener’s Tauberian theorems and convolution for oscillatory integral operators
The main aim of this work is to obtain Paley--Wiener and Wiener's Tauberian results associated with an oscillatory integral operator, which depends on cosine and sine kernels, as well as to introduce a consequent new convolution.
Luis Pinheiro de CASTRO +2 more
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