Results 111 to 120 of about 1,589,926 (279)

On quasi-Cauchy sequences

, 2010
This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.
openaire   +2 more sources

Novel Bernstein‐Kantorovich Type Operators

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,θ$$ {K}_{\beta}^{n,\theta } $$, parameterized by 0<β<1$$ 0<\beta <1 $$ and θ>0$$ \theta >0 $$. We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
wiley   +1 more source

A Decentralized ADMM-Cauchy Framework for Enhancing Dynamic Economic Dispatch in Power Networks

Journal of Electrical and Computer Engineering
Addressing the challenges of dynamic economic dispatch (DED) in modern power systems, this paper introduces a distributed alternating direction method of multipliers with Cauchy convergence framework (ADMM-Cauchy).
Yaming Ren
doaj   +1 more source

On the Approximation Properties of Modified Bernstein–Kantorovich Operators and Their Subfamilies

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Motivated by the construction of Bernstein–Kantorovich operators preserving affine functions, we introduce a Bernstein–Kantorovich type operators 𝒯n,m together with its subfamilies 𝒯∗n,m, 𝒯∗n,2m−1 and 𝒯∗n,2m. We investigate and compare their approximation properties with the other Bernstein–Kantorovich operators. Our analysis demonstrates that,
Hüseyin Aktuğlu, Mustafa Kara
wiley   +1 more source

I-statistically pre-Cauchy double sequences

Global Journal of Mathematical Analysis, 2014
In the present paper we are concerned with I -statistically pre-Cauchy double sequences in line of of Das et al. [5]. Particularly, we prove that for double sequences, I -statistical convergence implies I -statistical pre-Cauchy condition and examine some main properties of these concepts.
YAMANCI, Ulaş, GÜRDAL, Mehmet
openaire   +4 more sources

Fragmentation–Coagulation Processes With Advection or Diffusion in Space

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley   +1 more source

On strongly I-lacunary Cauchy sequences of sets

Contemporary Analysis and Applied Mathematics, 2012
In this study, we examinate the ideas of Wijsman strongly lacunary Cauchy, Wijsman strongly I-lacunary Cauchy and Wijsman strongly I^{∗}-lacunary Cauchy sequences of sets and investigate the relationship between them.
Dündar, Erdinç, Sever, Yurdal
openaire   +2 more sources

An analysis of the boundary layer in the 1D surface Cauchy–Born model [PDF]

, 2012
The surface Cauchy–Born (SCB) method is a computational multi-scale method for the simulation of surface-dominated crystalline materials. We present an error analysis of the SCB method, focused on the role of surface relaxation.
Jayawardana, Kavinda, Christoph Ortner, Ortner, Christoph, Harold S. Park, Mordacq, Christelle, Kavinda Jayawardana, Park, Harold S., Christelle Mordacq   +7 more
core   +1 more source

On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
wiley   +1 more source

A variation on lacunary statistical quasi cauchy sequences

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2017
In this paper, the concept of a lacunary statistically -quasi-Cauchysequence is investigated. In this investigation, we proved interesting theoremsrelated to lacunary statisticallycontinuities. A real valued function f de…ned on a subset A of R, the set ofreal numbers, is called lacunary statisticallyserves lacunary statistically delta quasi-Cauchy ...
CAKALLI, Hüseyin, KAPLAN, Hüseyin
openaire   +4 more sources