Results 41 to 50 of about 73,328 (276)
Certain Results Comprising the Weighted Chebyshev Function Using Pathway Fractional Integrals
Mathematics, 2019 An analogous version of Chebyshev inequality, associated with the weighted function, has been established using the pathway fractional integral operators. The result is a generalization of the Chebyshev inequality in fractional integral operators.
Aditya Mani Mishra +3 more
doaj +1 more source
An extension problem related to the fractional Branson-Gover operators
, 2019 The Branson-Gover operators are conformally invariant differential operators of even degree acting on differential forms. They can be interpolated by a holomorphic family of conformally invariant integral operators called fractional Branson-Gover ...
Frahm, Jan, Zhang, Genkai, Ørsted, Bent
core +1 more source
On Novel Fractional Operators Involving the Multivariate Mittag–Leffler Function
Mathematics, 2022 The multivariate Mittag–Leffler function is introduced and used to establish fractional calculus operators. It is shown that the fractional derivative and integral operators are bounded.
Muhammad Samraiz +5 more
doaj +1 more source
, 2018 In the present paper, we will characterize the boundedness of the generalized fractional integral operators $I_{\rho}$ and the generalized fractional maximal operators $M_{\rho}$ on Orlicz spaces, respectively.
Deringoz, Fatih +4 more
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FEBS Letters, EarlyView.This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva +5 more
wiley +1 more source
FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source
A Note on Extended Saigo Operators and Their q-analogues
Известия Иркутского государственного университета: Серия "Математика"Megumi Saigo derived generalized fractional operators, involving Gauss hypergeometric function, having four special cases: Riemann-Liouville, Weyl, Erd´elyKober left and right sided fractional operators.
K. K. Chaudhary, S. B. Rao
doaj +1 more source
On fractional powers of the Bessel operator on a semiaxis
, 2018 In this paper we study fractional powers of the Bessel differential operator defined on a semiaxis. Some important properties of such fractional powers of the Bessel differential operator are proved.
Shishkina, E. L., Sitnik, S. M.
core +1 more source
On Weyl fractional integral operators
Tamkang Journal of Mathematics, 2004 In this paper, we first establish an interesting theorem exhibiting a relationship existing between the Laplace transform and Weyl fractional integral operator of related functions. This theorem is sufficiently general in nature as it contains $n$ series involving arbitrary complex numbers $ \Omega(r_1,\ldots r_n) $.
Jain, Rashmi, Pathan, M. A.
openaire +3 more sources
Tau acetylation at K331 has limited impact on tau pathology in vivo
FEBS Letters, EarlyView.We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto +3 more
wiley +1 more source