Results 51 to 60 of about 250 (174)
Weighted modulus Sθ-convergence of order α in probability
Arab Journal of Mathematical Sciences, 2017 Let θ={kr}r∈N∪{0} be a lacunary sequence, ϕ be a modulus function and {tn}n∈N be a sequence of real numbers such that tn>δ,∀n∈N (where δ is a fixed positive real number) and Tn=t1+t2+⋯+tn (where n∈N and T0=0).
Sanjoy Ghosal +2 more
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A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α,β
Journal of Function Spaces, 2022 In the present paper, we defined lacunary sequence spaces of fractional difference operator of order α,β over n-normed spaces via Musielak-Orlicz function M=Ik.
Qing-Bo Cai +2 more
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International Journal of Analysis and Applications, 2018 We generalized the concepts in probability of rough Ces$\grave{a}$ro and lacunary statistical by introducing the difference operator $\Delta^{\alpha}_{\gamma}$ of fractional order, where $\alpha$ is a proper fraction and $\gamma=\left(\gamma_{mnk}\right)$
A. Esi, N. Subramanian
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The Role of Lacunary Statistical Convergence for Double sequences in Neutrosophic Normed Spaces [PDF]
Neutrosophic Sets and SystemsThis paper introduces and explores the concept of lacunary statistical convergence of double sequence within the framework neutrosophic normed spaces. Neutrosophic normed spaces extend classical normed spaces by incorporating neutrosophic numbers, which ...
Jenifer. P, Jeyaraman. M
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 Let Γ(m) denotes the gamma function of a real number m∉{0,-1,-2,…}. Then the difference matrix Δ^α of a fractional order α is defined as (Δ^α v)_k=∑_i〖(-1)^i (Γ(α+1))/(i!Γ(α-i+1)) v_(k+i) 〗.Using the difference operator Δ^α, we introduce paranormed ...
Taja Yayıng
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Lacunary sequences related to statistical convergence
Annals of Communications in Mathematics, 2020 In this manuscript, our concern is to introduce the new approach of studying the lacunary almost statistical convergence and strongly almost convergence of the generalized difference sequences of fuzzy numbers. Some interesting and basic properties concerning them will be studied.
openaire +2 more sources
Analogues of Whittker's theorem for Laplace-Stieltjes integrals
Karpatsʹkì Matematičnì Publìkacìï, 2016 For the maximum of the integrand of Laplace-Stieltjes integral the lower estimates on sequence are found. Using the estimates we obtained analogues of Whittaker's theorem for entire functions given by lacunary power series.
M.S. Dobushovskyy, M.M. Sheremeta
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Invariant means and lacunary sequence spaces of order (α, β)
Demonstratio MathematicaIn this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad +3 more
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Some Geometric Properties of Lacunary Sequence Spaces Related to Fixed Point Property
Abstract and Applied Analysis, 2011 The main purpose of this paper is considering the lacunary sequence spaces defined by Karakaya (2007), by proving the property (β) and Uniform Opial property.
Chirasak Mongkolkeha, Poom Kumam
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Rough statistical convergence on triple sequence of the Bernstein operator of random variables in probability [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2019 This paper aims to improve further on the work of Phu (2001), Aytar (2008), and Ghosal (2013). We propose a new apporach to extend the application area of rough statistical convergence usually used in triple sequence of the Bernstein operator of real ...
Nagarajan Subramanian +2 more
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