Results 1 to 10 of about 78,542 (225)

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

Journal 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   +2 more sources

Norm and Numerical Radius Inequalities for Sums of Power Series of Operators in Hilbert Spaces

Axioms
The main focus of this paper is on establishing inequalities for the norm and numerical radius of various operators applied to a power series with the complex coefficients h(λ)=∑k=0∞akλk and its modified version ha(λ)=∑k=0∞|ak|λk. The convergence of h(λ)
Najla Altwaijry, Silvestru Sever Dragomir, Kais Feki   +2 more
doaj   +2 more sources

New Bounds for the Sine Function and Tangent Function

Mathematics, 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

Mathematical 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

Some Tauberian Remainder Theorems for Holder Summability

Mathematical 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

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

Mathematical 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

Analysis of a Lorenz-Like Chaotic System by Lyapunov Functions

Complexity, 2019
In this paper, we investigate the ultimate bound set and positively invariant set of a 3D Lorenz-like chaotic system, which is different from the well-known Lorenz system, Rössler system, Chen system, Lü system, and even Lorenz system family. Furthermore,
Fuchen Zhang
doaj   +1 more source

Green's Function and Convergence of Fourier Series for Elliptic Differential Operators with Potential from Kato Space

Abstract and Applied Analysis, 2010
We consider the Friedrichs self-adjoint extension for a differential operator A of the form A=A0+q(x)⋅, which is defined on a bounded domain Ω⊂ℝn, n≥1 (for n=1 we assume that Ω=(a,b) is a finite interval). Here A0=A0(x,D) is a formally self-adjoint and a
Valery Serov
doaj   +1 more source

Modeling physics data with the generalized Marshall-Olkin Kumaraswamy distribution. [PDF]

PLoS One
Gündüz S, Ozkan E, Karakaya K.
europepmc   +1 more source

Microlocal analysis of non-linear operators arising in Compton CT. [PDF]

Inverse Probl
Webber JW, Holman S.
europepmc   +1 more source