Results 71 to 80 of about 200 (156)

A metric discrepancy result for lacunary sequences [PDF]

Proceedings of the American Mathematical Society, 2012
In 1975, [Acta Arith. 26, 241--251 (1975; Zbl 0263.10020)] \textit{W. Philipp} proved the bounded law of the iterated logarithm (LIL) for the discrepancy of lacunary sequences. In 2008, the first author of the present paper under review developed a new technique to calculate the exact value of the limsup in the LIL for special lacunary sequences; it ...
Fukuyama, Katusi, Watada, Tetsujin
openaire   +2 more sources

Ferrimagnetic Structure of 3C Pyrrhotite (Fe7S8) From Neutron Diffraction

Geochemistry, Geophysics, Geosystems, Volume 26, Issue 9, September 2025.
Abstract Pyrrhotite is a paleomagnetically important magnetic mineral in many geological settings. It forms numerous polytypes with different stacking patterns of the NiAs structure along the crystallographic c axis to produce different vacancy‐ordered superstructures.
Chin‐Wei Wang, Chorng‐Shern Horng, Andrew P. Roberts   +2 more
wiley   +1 more source

DFT Study of Halide‐Free Mechanism of the CO2 Cycloaddition onto Epoxide by [PW11O39{Zn(H2O)}]5−: Evidences for the Formation of Hydrogencarbonate Intermediates

ChemCatChem, Volume 17, Issue 15, August 7, 2025.
The computational study, sustained by experimental data, of the catalytic activity of [PW11O39{Zn(H2O)}]5− in CO2 cycloaddition to epoxide highlights how the carbonic anhydrase‐like character of this complex couples to the versatile binding properties of the polyoxometalate in this reaction pathway. Abstract The intertwined experimental and theoretical
Jingjing Ren, Franck Launay, Richard Villanneau, Hélène Gérard   +3 more
wiley   +1 more source

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
doaj   +1 more source

Highly Shielded Peroxo‐Cerium(IV)‐Containing Polyoxometalate: Synthesis, Structure, and Oxidative Studies

ChemistryEurope, Volume 3, Issue 4, July 14, 2025.
The peroxo‐di‐cerium(IV)‐di‐lithium‐containing 32‐tungsto‐4‐phosphate [(CeIV2O2)Li2(P2W16O59)2]16− (Ce2Li2P4W32) is synthesized and structurally characterized. This peroxo‐polyanion demonstrates remarkable stability in solution across a broad pH range.
Anusree Sundar, Danica Bajuk‐Bogdanović, Gordana Ćirić‐Marjanović, Talha Nisar, Veit Wagner, Arnulf Materny, Geoffrey B. Jameson, Bassem S. Bassil, Ulrich Kortz   +8 more
wiley   +1 more source

The Role of Lacunary Statistical Convergence for Double sequences in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
This 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
doaj   +1 more source

Some Geometric Properties of Sequence Spaces Involving Lacunary Sequence [PDF]

Journal of Inequalities and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +5 more sources

Double Lacunary Density and Some Inclusion Results in Locally Solid Riesz Spaces

Abstract and Applied Analysis, 2013
We define the notions of double statistically convergent and double lacunary statistically convergent sequences in locally solid Riesz space and establish some inclusion relations between them.
S. A. Mohiuddine, Bipan Hazarika, Abdullah Alotaibi   +2 more
doaj   +1 more source

Discatenated and lacunary recurrences [PDF]

Notes on Number Theory and Discrete Mathematics
Recursive sequences with gaps have been studied previously. This paper considers some elementary properties of such sequences where the gaps have been created on a regular basis from sequence to sequence – ‘discatenated’ (systematic gaps) and ‘lacunary’
Hakan Akkuş, Ömür Deveci, Engin Özkan, Anthony G. Shannon   +3 more
doaj   +1 more source

Biomimetic Hierarchical Construction of Anti‐Tumor Polyoxopalladates for Cancer Therapy

Angewandte Chemie, Volume 137, Issue 23, June 2, 2025.
Engineering of lacunary polyoxopalladates resulted in a hierarchical assembly that resembles the construction of biomacromolecules. An ordered structural evolution from monomer via dimer to supramolecular aggregates was achieved by cooperative covalent and supramolecular bonding effects, resulting in enhanced anti‐tumor activity via DNA damage ...
Yue Zhao, Zheran Liu, Zijian Qin, Qinlong Wen, Jing Du, Xiang‐Yu Ren, Chao‐Qin Chen, Xingchen Peng, Ulrich Kortz, Peng Yang   +9 more
wiley   +1 more source