Results 81 to 90 of about 133,611 (249)
ON $\mathcal{I}$-CAUCHY SEQUENCES
Taiwanese Journal of Mathematics, 2007 The concept of $\mathcal{I}$-convergence is a generalization of statistical convergence and it is dependent on the notion of the ideal $\mathcal{I}$ of subsets of the set $\mathbb{N}$ of positive integers. In this paper we prove a decomposition theorem for $\mathcal{I}$-convergent sequences and we introduce the notions of $\mathcal{I}$ Cauchy sequence ...
Nabiev, Anar +2 more
openaire +2 more sources
Energy Science &Engineering, EarlyView.A numerical model of variable‐speed pumped storage unit (VSPSU) with full‐size converter (FSC) under fast speed control strategy is established. Additionally, the correctness of the model was validated by comparing with SIMSEN simulation results and text prototype data from NARI.
Weijia Yang +5 more
wiley +1 more source
TVS-cone metric spaces as a special case of metric spaces [PDF]
, 2012 There have been a number of generalizations of fixed point results to the so called TVS-cone metric spaces, based on a distance function that takes values in some cone with nonempty interior (solid cone) in some topological vector space. In this paper we
Aranđelović, Ivan D. +1 more
core
International Journal for Numerical Methods in Fluids, EarlyView.This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav +4 more
wiley +1 more source
Cauchy products of positive sequences
Rocky Mountain Journal of Mathematics, 1990 For sequences \((a_ n)\), \((b_ n)\), the Cauchy product is the sequence \((c_ n)\) defined by \(c_ n=\sum^{n}_{j=1}a_{n-j}b_ j\). Consider the following two properties for positive sequences: \[ (*)\quad \lim_{n}\inf (\inf_{k\geq 1}t^{-1}_{k+n}t_ k)^{1/n}\geq 1;\quad (**)\quad t^ 2_ k\geq t_{k-1}t_{k+1}.
BADRI, M., SZEPTYCKI, P.
openaire +3 more sources
Estimating Interaction Effects With Panel Data
Journal of Applied Econometrics, EarlyView.ABSTRACT This paper analyzes how interaction effects can be consistently estimated under economically plausible assumptions in linear panel models with a fixed T$$ T $$‐dimension. We advocate for a correlated interaction term effects (CITE) estimator and show that it is consistent under conditions that are not sufficient for consistency of the ...
Chris Muris, Konstantin M. Wacker
wiley +1 more source
Normed Ordered and 𝐸-Metric Spaces
International Journal of Mathematics and Mathematical Sciences, 2012 In 2007, Haung and Zhang introduced the notion of cone metric spaces. In this paper, we define an ordered space 𝐸, and we discuss some properties and examples. Also, normed ordered space is introduced.
Ahmed Al-Rawashdeh +2 more
doaj +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
On λ-statistical and Vλ-statistical summability in neutrosophic-2-normed spaces [PDF]
Neutrosophic Sets and SystemsIn the present paper, we aim to define λ-statistical summability, Vλ-statistical summability in neutrosophic-2-normed spaces (briefly called N − 2 − NS) and study some relationships among these notions.
Sumaira Aslam +2 more
doaj +1 more source