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Exponential Tail Estimates for Lacunary Trigonometric Series

open access: yesAxioms
We establish precise exponential tail estimates for lacunary trigonometric sums of the form fN(x)=∑k=1Nckcos(2πnkx), under the Hadamard gap condition.
Maria Rosaria Formica   +2 more
doaj   +1 more source

L-estimates for uncentered spherical averages and lacunary maximal functions

open access: yesJournal of Mathematical Analysis and Applications
We thank the anonymous referee for pointing out an error in the previous version. We modify our theorem accordingly and reorganize the paper for better presentation.
Ankit Bhojak   +3 more
openaire   +3 more sources

On the transfinite density of sequences and its applications to Dirichlet series

open access: yesМатематичні Студії
For an increasing to $\infty$ sequence $(\lambda_n)$ of positive numbers let $\displaystyle n(t)=\sum\limits_{\lambda_n\le t}1,\ N(x)=\int\nolimits_{0}^{x}\dfrac{n(t)}{t}dt, \ L_k(t)=\sum\limits_{\lambda_n\le t}\prod\limits_{j=0}^{k-1}\dfrac{1}{\ln_j ...
M. M. Sheremeta
doaj   +1 more source

Oxo-Replaced Polyoxometalates: There Is More than Oxygen. [PDF]

open access: yesACS Org Inorg Au, 2022
Breibeck J, Gumerova NI, Rompel A.
europepmc   +1 more source

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