Results 1 to 10 of about 39,209 (265)

Sensitivity analysis in general metric spaces [PDF]

Reliability Engineering & System Safety, 2021
In this paper, we introduce new indices adapted to outputs valued in general metric spaces. This new class of indices encompasses the classical ones; in particular, the so-called Sobol indices and the Cram{é}r-von-Mises indices. Furthermore, we provide asymptotically Gaussian estimators of these indices based on U-statistics. Surprisingly, we prove the
Gamboa, Fabrice, Klein, Thierry, Lagnoux, Agnès, Moreno, Leonardo   +3 more
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On the H.-Q. Li inequality on step-two Carnot groups

Comptes Rendus. Mathématique, 2023
In this note we show that the gradient estimate of the heat semigroup, or more precisely the H.-Q. Li inequality, is preserved under tensorization, some suitable group epimorphism, and central sum. We also establish the Riemannian counterpart of the H.-Q.
Zhang, Ye
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Asymptotically Mean Value Harmonic Functions in Doubling Metric Measure Spaces

Analysis and Geometry in Metric Spaces, 2022
We consider functions with an asymptotic mean value property, known to characterize harmonicity in Riemannian manifolds and in doubling metric measure spaces.
Adamowicz Tomasz, Kijowski Antoni, Soultanis Elefterios   +2 more
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Analysis in Metric Spaces

Notices of the American Mathematical Society, 2020
This note is a survey of Analysis on Metric spaces, in connection with the upcoming AMS Mathematics Research Communities program in June 2020.
Bonk, Mario, Capogna, Luca, HajÅ‚asz, Piotr, Shanmugalingam, Nageswari, Tyson, Jeremy   +4 more
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Inclusion of Hajłasz – Sobolev class Mpα(X) into  the space of continuous functions in the critical case

Журнал Белорусского государственного университета: Математика, информатика, 2020
Let (X, d, µ) be a doubling metric measure space with doubling dimension γ, i. e. for any balls B(x, R) and B(x, r), r < R, following inequality holds µ(B(x, R)) ≤ aµ (R/r)γµ(B(x, r)) for some positive constants γ and aµ.
Sergey A. Bondarev
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MR-Metric Spaces: Theory and Applications in Fractional Calculus and Fixed-Point Theorems [PDF]

Neutrosophic Sets and Systems
This paper investigates the interplay between MR-metric spaces and fractional calculus, estab lishing new theoretical results with applications in analysis and mathematical physics.
Abed Al-Rahman M. Malkawi, Ayat M. Rabaiah   +1 more
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Local multifractal analysis in metric spaces [PDF]

Nonlinearity, 2013
arXiv admin note: text overlap with arXiv:1003 ...
Käenmäki, Antti, Rajala, Tapio, Suomala, Ville   +2 more
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A Version of the Hahn-Banach Theorem for R-Vector Spaces [PDF]

Sahand Communications in Mathematical Analysis
Recently, $R$-metric spaces have been introduced to generalized metric spaces. This extension is based on the construction of a new universe with interesting properties.
Azadeh Alijani, Zohreh Heydarpour, Maryam Naderi Parizi   +2 more
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Fourier analysis on linear metric spaces [PDF]

Transactions of the American Mathematical Society, 1973
Probability measures on a real complete linear metric space E E are studied via their Fourier transform on
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Investigation of the fixed-point theorem on a complete cone metric space [PDF]

ITM Web of Conferences
Metric space is the one of topics in mathematical analysis which is still being studied and developed. Previous research has extended the contraction mappings and completeness properties from metric spaces to other spaces such as cone metric spaces. This
Rahma Zuhra, Hafnani Hafnani, Rini Oktavia   +2 more
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