Results 51 to 60 of about 813 (192)
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 MathematicsThis study presents a detailed investigation into the analytical properties of the generalized Gamma function introduced by Dilcher. We establish a fundamental recurrence relation and derive novel reflection formula for this generalized function ...
Gregory Abe-I-Kpeng +2 more
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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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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On Caputo Fractional Derivatives and Caputo–Fabrizio Integral Operators via (s, m)-Convex Functions
Fractal and Fractional, 2023 This paper contains a variety of new integral inequalities for (s,m)-convex functions using Caputo fractional derivatives and Caputo–Fabrizio integral operators.
Ammara Nosheen +4 more
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A new family of functional series relations involving digamma functions [PDF]
Annales mathématiques Blaise Pascal, 1996 This paper is devoted to obtain a new family of functional series relations involving the digamma functions. The approach of derivations is based upon series rearrangement methods. Due to the generality of the functional series relations involving arbitrary coefficients \(A(r)\), several known and new series summations involving digamma functions are ...
Raina, R. K., Ladda, R. K.
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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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Modular relations involving generalized digamma functions
Journal of Mathematical Analysis and ApplicationsGeneralized digamma functions $ψ_k(x)$, studied by Ramanujan, Deninger, Dilcher, Kanemitsu, Ishibashi etc., appear as the Laurent series coefficients of the zeta function associated to an indefinite quadratic form. In this paper, a modular relation of the form $F_k(α)=F_k(1/α)$ containing infinite series of $ψ_k(x)$, or, equivalently, between the ...
Atul Dixit +2 more
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Atomic‐Scale Epitaxy for Tailoring Crystalline GeSbTe Alloys Into Bidimensional Phases
Advanced Materials Interfaces, Volume 13, Issue 1, 7 January 2026.This Study Shows How Molecular Beam Epitaxy Can Precisely Control the Growth of Ge–Sb–Te Alloys By Tuning Temperature and Elemental Flux Ratio. A Predictive Growth Diagram is established, Linking Structural Ordering to Electrical Transport, and Enabling Efficient, low‐power Switching in Memory Devices.
Valeria Bragaglia +7 more
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Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming
Asian Journal of Control, Volume 28, Issue 1, Page 497-514, January 2026.Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari +2 more
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