Results 61 to 70 of about 881 (112)

Families of Increasing Sequences Possessing the Harmonic Series Property [PDF]

, 2013
We prove in this paper that any maximal, with respect to inclusion, subset of N – the family of all increasing sequences of positive integers – possessing the harmonic series property has the cardinality of the continuum.
Hetmaniok, Edyta, Słota, Damian, Wituła, Roman   +2 more
core  

Foias Numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
The Foias constant, a true mathematical gem, is generalized to a host of similar numbers. As is the case with all significant mathematics it is the underlying method, due to Foias, that matters.
Anghel Nicolae
doaj   +1 more source

Ideal convergence in n-normal spaces and some new sequence spaces via n-norm

, 2014
In this paper we introduced some new sequence spaces using n-normed spaces and gave some preliminary result for matrix transformations between some sequence spaces. 2000 Mathematics Subject Classification. Primary 40A05, 40A45; Secondary 46A70.
M. Gürdal, A. Sahiner
semanticscholar   +1 more source

CHARACTERIZATION OF SOME MATRIX CLASSES INVOLVING SOME SETS WITH SPEED

, 2018
The paper introduces the notions of boundedness and convergence with speed for difference sequences, and characterizes certain matrix classes associating the sets of such classes of sequences involving the operator and two speeds D . k/ and D . k/ .0 < k
S. Das, H. Dutta
semanticscholar   +1 more source

New Inequalities Associated with the Euler-Mascheroni Constant [PDF]

, 2017
In this paper we propose new sequence approximating the Euler-Mascheroni constant which converge faster towards its limit and we establish better bounds in inequalities for the Euler ...
Cringanu, J. (Jenica)
core  

On the harmonic number expansion by Ramanujan

, 2013
Let γ=0.577215664… denote the Euler-Mascheroni constant, and let the sequences The main aim of this paper is to find the values r, s, t, a, b, c and d which provide the fastest sequences (un)n≥1 and (vn)n≥1 approximating the Euler-Mascheroni constant.
C. Mortici, Chao-Ping Chen
semanticscholar   +1 more source

On λ-statistical convergence and strongly λ-summable functions of order α

, 2013
In this study, using the notion of (V,λ)-summability and λ-statistical convergence, we introduce the concepts of strong (V,λ,p)-summability and λ-statistical convergence of order α of real-valued functions which are measurable (in the Lebesgue sense) in ...
M. Et, S. A. Mohiuddine, A. Alotaibi
semanticscholar   +1 more source

Some spaces of difference sequences and lacunary statistical convergence in $n$-normed space defined by sequence of Orlicz functions

, 2015
In the present paper we introduce some new sequence spaces in the n-normed space. We define here some new spaces of double sequences by using the notions of lacunary sequences, difference sequences, almost convergence, sequence of Orlicz functions and ...
M. Mursaleen, K. Raj, S. Sharma
semanticscholar   +1 more source

Flip and Hopf Bifurcations of Discrete-Time Fitzhugh-Nagumo Model

Open Journal of Mathematical Sciences, 2018
In this paper, dynamics of a two-dimensional Fitzhugh-Nagumo model is discussed. The discrete-time model is obtained with the implementation of forward Euler’s scheme.
Qamar Din, S. Khaliq
semanticscholar   +1 more source

Relative Uniform Convergence of Quantum Difference Sequence of Functions Related to ℓp-Space Defined by Orlicz Function

Annales Mathematicae Silesianae
The sequence spaces ruℓ∞(𝒪, ∇q), ruℓp(𝒪, ∇q), ruc(𝒪, ∇q), ruc0(𝒪, ∇q), rumϕ(𝒪, ∇q, p), runϕ(𝒪, ∇q, p), rumϕ(𝒪, ∇q), runϕ(𝒪, ∇q) are defined by the Orlicz function in this article.
Debbarma Diksha, Tripathy Binod Chandra
doaj   +1 more source