Some Geometric Properties of Sequence Spaces Involving Lacunary Sequence [PDF]
Journal of Inequalities and Applications, 2008 We introduce new sequence space involving lacunary sequence connected with Cesaro sequence space and examine some geometric properties of this space equipped with Luxemburg norm.
Vatan Karakaya
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Strongly Almost Lacunary -Convergent Sequences [PDF]
Abstract and Applied Analysis, 2013 We study some new strongly almost lacunary -convergent generalized difference sequence spaces defined by an Orlicz function. We give also some inclusion relations related to these sequence spaces.
Adem Kılıçman, Stuti Borgohain
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On Strongly Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence [PDF]
Universal Journal of Mathematics and Applications, 2023 In the study conducted here, we have given some new concepts in summability theory. In this sense, firstly, using the lacunary sequence we have given the concept of strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence and we have examined the relations ...
Esra Gülle +2 more
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Centered Polygonal Lacunary Sequences [PDF]
Mathematics, 2019 Lacunary functions based on centered polygonal numbers have interesting features which are distinct from general lacunary functions. These features include rotational symmetry of the modulus of the functions and a notion of polished level sets.
Keith Sullivan +2 more
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Lacunary strong A -convergence sequence spaces defined by a sequence of moduli
Kuwait Journal of Science, 2013 The definition of lacunary strong A-convergence to a modulus is extended to a definition of lacunary strong A -convergence with respect to a sequence of moduli.
AYHAN ESI
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Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order [PDF]
International Journal of Mathematics and Mathematical Sciences, 2015 We generalize the lacunary statistical convergence by introducing the generalized difference operator Δνα of fractional order, where α is a proper fraction and ν=(νk) is any fixed sequence of nonzero real or complex numbers.
Ugur Kadak
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On lacunary invariant sequence spaces defined by a sequence of modulus functions [PDF]
Applied Mathematics and Computation, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vatan Karakaya, Necip Simsek
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Lacunary statistical convergence and inclusion properties between lacunary methods
International Journal of Mathematics and Mathematical Sciences, 2000 A lacunary sequence is an increasing integer sequence θ={kr} such that kr−kr−1→∞ as r→∞. A sequence x is called sθ-convergent to L provided that for each ϵ>0, limr(1/(kr−kr−1)){the number of kr ...
Jinlu Li
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Strongly Lacunary I?-Convergence and Strongly Lacunary I?-Cauchy Sequence [PDF]
In this paper, we defined the concepts of lacunary I?-convergence and strongly lacunary I?-convergence. We investigated the relations between strongly lacunary I-convergence and strongly lacunary I?-convergence. Also, we defined the concept of strongly lacunary I?-Cauchy sequence and investigated the relations between strongly lacunary I-Cauchy ...
Pancaroğlu Akın, Nimet Pancaro?lu +1 more
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Hydrogels Under Superchaotropic Control: Polyoxometalate Stabilization and pH-Responsive Crosslinking in Cellulose Ether Solutions. [PDF]
Angew Chem Int Ed EnglSuperchaotropic binding of Keggin polyoxometalates (POMs) to non‐ionic biopolymers like cellulose ethers (CEs) stabilizes otherwise hydrolytically unstable POMs in aqueous solution and allows conversion of pH‐nonresponsive polymers into pH‐responsive soft materials. The pH‐driven conversion from plenary to lacunary POMs switches superchaotropic binding
Lokare VB +3 more
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