Results 41 to 50 of about 52,481 (258)
Harmonic morphisms and subharmonic functions
International Journal of Mathematics and Mathematical Sciences, 2005 Let M be a complete Riemannian manifold and N a complete noncompact Riemannian manifold. Let ϕ:M→N be a surjective harmonic morphism. We prove that if N admits a subharmonic function with finite Dirichlet integral which is not harmonic, and ϕ has finite
Gundon Choi, Gabjin Yun
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Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
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Harmonic m-Preinvex Functions and Inequalities
International Journal of Analysis and Applications, 2018 In this paper, we introduce a new class of harmonic functions, which is called harmonic mpreinvex functions for a fixed m. Some Hermite-Hadamard inequality for harmonic m-preinvex functions are derived. Several special cases are discussed as applications
Muhammad Aslam Noor +3 more
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Convexity In Multivalued Harmonic Functions
Real Analysis Exchange, 2022 16 pages. Real Analysis Exchange. Vol. 47(2) 2022 pp.
openaire +3 more sources
Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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Harmonic Beta-Preinvex Functions and Inequalities
International Journal of Analysis and Applications, 2017 In this paper, we introduce and study a new class of harmonic convex functions which is called harmonic beta-preinvex functions. We establish some estimates, involving the Euler Beta function and the Hypergeometric function of the integral $\int_a^{a ...
Muhammad Aslam Noor +2 more
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BASIC DONKIN'S DIFFERENTIAL OPERATORS FOR HOMOGENEOUS HARMONIC FUNCTIONS
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019 It is shown that there are the differential operators that transform three-dimensional homogeneous harmonic functions into new three-dimensional homogeneous harmonic functions.
Berdnikov Alexander +3 more
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Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
FEBS Letters, EarlyView.Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta +3 more
wiley +1 more source
مجلة جامعة الزيتونة, 2022 In this paper, we present an innovative idea of the harmonic functions. In order to do this, we first present the most important theories related to harmonic functions and put forward the idea of harmonic conjugate.
Abdulbasit Abdulrahman +2 more
doaj
Mathematical Modelling and Analysis, 2013 In this paper, we discuss some properties on hyperbolic-harmonic functions in the unit ball of ℂ n . First, we investigate the relationship between the weighted Lipschitz functions and the hyperbolic-harmonic Bloch spaces.
Shaolin Chen +2 more
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