Results 1 to 10 of about 276,892 (195)

New Bounds for the Sine Function and Tangent Function

open access: yesMathematics, 2021
Using the power series expansion technique, this paper established two new inequalities for the sine function and tangent function bounded by the functions x2sin(λx)/(λx)α and x2tan(μx)/(μx)β.
Ling Zhu
doaj   +1 more source

Several theorems on λ–summable series

open access: yesMathematical Modelling and Analysis, 2010
We prove several propositions on λ‐summable series by Cesàro method (C, 1) or by weighted mean methods N, which are also often called Riesz methods P = (R, pn ).
Olga Meronen, Ivar Tammeraid
doaj   +1 more source

Nonsoluble and non-p-soluble length of finite groups [PDF]

open access: yes, 2013
Every finite group G has a normal series each of whose factors either is soluble or is a direct product of nonabelian simple groups. We define the nonsoluble length λ(G) as the number of nonsoluble factors in a shortest series of this kind.
A. H. M. Hoare   +18 more
core   +3 more sources

Some Tauberian Remainder Theorems for Holder Summability

open access: yesMathematical Modelling and Analysis, 2015
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
doaj   +1 more source

Analytic Continuation of Dirichlet Series with Almost Periodic Coefficients [PDF]

open access: yes, 2016
We consider Dirichlet series ζ[subscript g,α](s)=∑[∞ over n=1]g(nα)e[superscript −λ[subscript n]s] for fixed irrational α and periodic functions g.
Knill, Oliver, Lesieutre, John D
core   +1 more source

Some new thin sets of integers in harmonic analysis [PDF]

open access: yes, 2002
We randomly construct various subsets A of the integers which have both smallness and largeness properties. They are small since they are very close, in various senses, to Sidon sets: the continuous functions with spectrum in Λ have uniformly convergent ...
Li, Daniel   +2 more
core   +2 more sources

General control modulo and Tauberian remainder theorems for (C, 1) summability

open access: yesMathematical Modelling and Analysis, 2013
We prove for the (C, 1) summability method several Tauberian remainder theorems using the general control modulo of the oscillatory behavior.
Olga Meronen, Ivar Tammeraid
doaj   +1 more source

Research in the Interpolation Representations of Stochastic Processes in the Two Types of Interpolation Knots [PDF]

open access: yes, 2017
The article deals with some interpolation representations of stochastic processes with non-equidistance interpolation knots. Research is based on observations of the process and its derivatives of the first and second orders at some types of knots and ...
Verovkina, G. (Ganna)
core   +2 more sources

Discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type [PDF]

open access: yes, 2016
We obtain discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type. It is shown that the microlocal properties of an ultradistribution can be obtained by sampling the Fourier transforms of its localizations over a lattice ...
Debrouwere, Andreas, Vindas, Jasson
core   +2 more sources

Some Topological and Geometric Properties of Some New Spaces of λ-Convergent and Bounded Series

open access: yesJournal of Function Spaces, 2015
The main purpose of this study is to introduce the spaces csλ, cs0λ, and bsλ which are BK-spaces of nonabsolute type. We prove that these spaces are linearly isomorphic to the spaces cs, cs0, and bs, respectively, and derive some inclusion relations ...
Meltem Kaya, Hasan Furkan
doaj   +1 more source

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