Hydrogels Under Superchaotropic Control: Polyoxometalate Stabilization and pH‐Responsive Crosslinking in Cellulose Ether Solutions [PDF]
Angewandte Chemie, Volume 138, Issue 22, 25 May 2026.Superchaotropic 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
Vighnesh B. Lokare +3 more
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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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Lacunary ℐ-Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces
Journal of Mathematics, 2021 The concepts of invariant convergence, invariant statistical convergence, lacunary invariant convergence, and lacunary invariant statistical convergence for set sequences were introduced by Pancaroğlu and Nuray (2013).
Mualla Birgül Huban
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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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More Than a Buffer in Biochemistry: Tris as an Architect and Gatekeeper of Metal–Oxo Assembly [PDF]
Angewandte Chemie International Edition, Volume 65, Issue 13, 23 March 2026.Tris(hydroxymethyl)aminomethane, depicted as an octopus, acts as an alkoxy ligand, chelator, and structure‐directing buffer that programs polyoxometalate's speciation, nucleation, and heterometal insertion in aqueous solution. ABSTRACT Polyoxometalates (POMs, molecular metal–oxo clusters) are typically studied and applied in aqueous media, where ...
Nadiia I. Gumerova, Annette Rompel
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Lacunary I-invariant convergence [PDF]
Cumhuriyet Science Journal, 2020 In this study, firstly, we introduce the notion of lacunary invariant uniform density of any subset E of the set N (the set of all natural numbers). Then, as associated with this notion, we give the definition of lacunary I_σ-convergence for
Fatih Nuray, Uğur Ulusu
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Some new lacunary statistical convergence with ideals [PDF]
Journal of Inequalities and Applications, 2017 In this paper, the idea of lacunary I λ $I_{\lambda}$ -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function.
Adem Kilicman, Stuti Borgohain
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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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Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we introduce and study the notion of rough I2 $\mathcal {I}_{2}$-lacunary statistical convergence of double sequences in normed linear spaces.
Ömer Kişi, Erdinç Dündar
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Strongly Lacunary Ward Continuity in 2-Normed Spaces [PDF]
The Scientific World Journal, 2014 A function f defined on a subset E of a 2-normed space X is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in E; that is, (f(xk)) is a strongly lacunary quasi-Cauchy sequence whenever (xk) is strongly
Hüseyin Çakalli, Sibel Ersan
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