A Note on the Lalescu Sequence
General Mathematics
2025-03-24 v2
Abstract
We prove that the Lalescu sequence is monotonically decreasing.
Keywords
Cite
@article{arxiv.2409.02924,
title = {A Note on the Lalescu Sequence},
author = {Carlo Mantegazza and Nicola Pio Melillo},
journal= {arXiv preprint arXiv:2409.02924},
year = {2025}
}
Related papers
View all related →
General Mathematics · Mathematics
A window to the Convergence of a Collatz Sequence
Maya Mohsin Ahmed
2015-10-06
Functional Analysis · Mathematics
A New Proof of the Monotone Convergence Theorem of Lebesgue Integral on \sigma-Class
Dinh Trung Hoa
2011-12-16
Algebraic Geometry · Mathematics
Adelic descent for continuous localizing invariants
Grigorii Konovalov
2025-08-26
Functional Analysis · Mathematics
A simple proof of the Lebesgue decomposition theorem
Tamás Titkos
2014-04-08
Combinatorics · Mathematics
On monotonicity of some combinatorial sequences
Qing-Hu Hou, Zhi-Wei Sun, Haomin Wen
2014-12-24
Algebraic Topology · Mathematics
On sequences cat (f\sp k)
Yuli B. Rudyak
2007-05-23
General Mathematics · Mathematics
A note on the convergence of the Adomian decomposition method
Hicham Zoubeir
2019-06-18
Number Theory · Mathematics
On the Landau-Siegel Zeros Conjecture
Yitang Zhang
2007-05-31
Combinatorics · Mathematics
A combinatorial proof of Rayleigh monotonicity for graphs
J. Cibulka, J. Hladky, M. A. LaCroix, D. G. Wagner
2017-07-31
Classical Analysis and ODEs · Mathematics
Monotonicity and logarithmic convexity relating to the volume of the unit ball
Feng Qi, Bai-Ni Guo
2014-05-08
Rings and Algebras · Mathematics
A note on recurrence sequences
S. Amghibech
2007-05-23
Classical Analysis and ODEs · Mathematics
Note on the Dirichlet Approximation Theorem
Yong-Cheol Kim
2007-05-23
Number Theory · Mathematics
A new proof of Lucas' Theorem
Alexandre Laugier, Manjil P. Saikia
2013-01-21
Number Theory · Mathematics
A note on a conjecture by Ulas on polynomial substitutions
Peter Müller
2019-08-01
Metric Geometry · Mathematics
Aperiodic linearly repetitive Delone sets are densely repetitive
Daniel Lenz
2007-05-23
Functional Analysis · Mathematics
Maximal monotonicity of the subdifferential of a convex function: a direct proof
Milen Ivanov, Nadia Zlateva
2024-08-05
Probability · Mathematics
A short proof of Isserlis' theorem
Hans Z. Munthe-Kaas, Olivier Verdier, Gilles Vilmart
2025-03-10
Combinatorics · Mathematics
Proof of Union-Closed Sets Conjecture
Vladimir Blinovsky, Llohann D Speranca
2024-09-13
Number Theory · Mathematics
A polynomial approach to the Collatz conjecture
Feng Pan, Jerry P. Draayer
2019-05-22
General Mathematics · Mathematics
Decomposition of Approximately Monotone and Convex Sequences
Angshuman Robin Goswami
2024-04-25
Classical Analysis and ODEs · Mathematics
A simple proof of monotonicity for linear cooperative systems of ODEs
Janusz Mierczyński
2013-04-25
Combinatorics · Mathematics
Are the Catalan Numbers a Linear Recurrence Sequence?
Martin Klazar, Richard Horský
2021-07-23
Numerical Analysis · Mathematics
Convergent, with rates, methods for normalized infinity Laplace, and related, equations
Wenbo Li, Abner J. Salgado
2022-09-14
Algebraic Geometry · Mathematics
The continuity of Deligne's pairing
Atsushi Moriwaki
2007-05-23
Formal Languages and Automata Theory · Computer Science
A Taxonomy of Morphic Sequences
Jean-Paul Allouche, Julien Cassaigne, Jeffrey Shallit, Luca Q. Zamboni
2017-11-30