Results 71 to 80 of about 860 (206)
Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
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Journal of Inequalities and Applications, 2020 Several conjectures posed by Qi on completely monotonic degrees of remainders for the asymptotic formulas of the digamma and trigamma functions are proved.
Ai-Min Xu, Zhong-Di Cen
doaj +1 more source
Robust Inference for Intermittently‐Monitored Step‐Stress Tests Under Weibull Lifetime Distributions
Quality and Reliability Engineering International, Volume 42, Issue 2, Page 837-857, March 2026.ABSTRACT Many modern products exhibit high reliability under normal operating conditions. Conducting life tests under these conditions may result in very few observed failures, insufficient for accurate inferences. Instead, accelerated life tests (ALTs) must be performed.
Narayanaswamy Balakrishnan +2 more
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Closed-form estimators for the inverse Nakagami distribution
Anais da Academia Brasileira de CiênciasThe inverse Nakagami distribution due to Louzada et al. (2018) does not have closed-form maximum likelihood estimators. Closed-form estimators by adapting the method of moments are proposed in this note.
VICTOR NAWA, SARALEES NADARAJAH
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Coding and anticoding of a cardinal by bounded subsets of the cardinal
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract This paper will consider combinatorial properties related to coding a cardinal by its bounded subsets. These properties have traditionally been studied in the context of very large cardinals and variations of these properties either reach the level of Kunen inconsistency or are very close to it.
William Chan
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On an integral involving the logarithm function [PDF]
, 2020 We use the Ramanujan's master theorem to evaluate the integral $$\int_{0}^{\infty}\frac{x^{l-1}}{(1+x)^{m+1}}\log^{n}(1+x)\, dx $$ in terms of the digamma function, the gamma function, and the Hurwitz zeta ...
Sumit Kumar Jha
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Robust Model‐Based Semi‐Supervised Clustering of Incomplete Records
Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 1, February 2026.ABSTRACT This paper develops a multivariate t$$ t $$‐mixture model‐based semi‐supervised clustering methodology for datasets with incomplete records. Specifically, we consider the case where not all features are always observed, as well as the case where label information for some of the records is available, where the interest is in grouping all of ...
Joshua D. Berlinski, Ranjan Maitra
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New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities
Alexandria Engineering Journal, 2020 An analogous version of Hermite-Hadamard-Mercer’s inequality has been established using the Katugampola fractional integral operators. The result is the generalization of the Riemann-Liouville fractional integral operator combined with the left and right
Hong-Hu Chu +3 more
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Advanced Materials Interfaces, Volume 13, Issue 1, 7 January 2026.Magnetoresistance measurements on a series of polycrystalline cesium tin iodide (CsSnI3) thin film devices having varying grain sizes reveal no power law dependence with clear signatures of weak anti‐localization (spin‐orbit coupling). Surprisingly, the extracted phase coherence lengths are found to be independent of grain sizes.
Aungkan Sen +6 more
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Some extensions of the Prabhu-Srivastava theorem involving the (p,q)-gamma function [PDF]
, 2017 In this paper, we obtain some limit formulas for derivatives of (p,q)-gamma function and (p,q)- digamma function at their poles. These limit formulas extend the Prabhu-Srivastava theorem involving gamma function and digamma function.
Ji-Cai Liu, Jichun Liu
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