Results 71 to 80 of about 171,468 (355)

The rectangular fractional integral operators

, 2023
With rectangular doubling weight, a~generalized Hardy-Littlewood-Sobolev inequality for rectangular fractional integral operators is verified. The result is a~nice application of $M$-linear embedding theorem for dyadic rectangles.
openaire   +2 more sources

Universal Drinfeld-Sokolov Reduction and Matrices of Complex Size

, 1994
We construct affinization of the algebra $gl_{\lambda}$ of ``complex size'' matrices, that contains the algebras $\hat{gl_n}$ for integral values of the parameter. The Drinfeld--Sokolov Hamiltonian reduction of the algebra $\hat{gl_{\lambda}}$ results in
A. Reiman, A. Weinstein, B. Enriques, B. Kostant, B. Kostant, B.A. Khesin, B.A. Kupershmidt, B.L. Feigin, Boris Khesin, E. Date, F. Malikov, Feodor Malikov, H. Flashka, I.B. Frenkel, I.M. Gelfand, J.E. Marsden, L.A. Dickey, M. Adler, O.S. Kravchenko, P. Deligne, V.G. Kac, V.I. Arnold   +21 more
core   +1 more source

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

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, Dimitrios Bekiari, Sofia Doello, Karl Forchhammer   +3 more
wiley   +1 more source

Boundedness of fractional integral operators containing Mittag-Leffler functions via (s,m)-convexity

AIMS Mathematics, 2020
The objective of this paper is to derive the bounds of fractional integral operators which contain Mittag-Leffler functions in the kernels. By using (s,m)-convex functions bounds of these operators are evaluated which lead to obtain their boundedness and
G. Farid, Saira Bano Akbar, S. Rehman, J. Pečarić   +3 more
semanticscholar   +1 more source

Certain composition formulae for the fractional integral operators

, 2017
In this paper we establish some (presumably new) interesting expressions for the composition of some well known fractional integral operators $ I^{\mu}_{a+}, D^{\mu}_{a+} $,$ I^{\gamma , \mu}_{a+}$ and also derive an integral operator $\mathcal{H}^{w;m,n;
Agarwal, Praveen, Harjule, Priyanka
core   +1 more source

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, Yukio Matsuba, Mika Takahashi, Takaomi C. Saido   +3 more
wiley   +1 more source

The Minkowski inequalities via generalized proportional fractional integral operators

Advances in Differential Equations, 2019
Recent research has gained more attention on conformable integrals and derivatives to derive the various type of inequalities. One of the recent advancements in the field of fractional calculus is the generalized nonlocal proportional fractional ...
G. Rahman, Aftab Khan, T. Abdeljawad, K. Nisar   +3 more
semanticscholar   +1 more source

New Variant of Hermite–Jensen–Mercer Inequalities via Riemann–Liouville Fractional Integral Operators

, 2020
In this paper, certain Hermite–Hadamard–Mercer-type inequalities are proved via Riemann–-Liouville fractional integral operators. We established several new variants of Hermite–Hadamard’s inequalities for Riemann–Liouville fractional integral operators ...
Qiong Kang, S. Butt, W. Nazeer, M. Nadeem, Jamshed Nasir, Hong Yang   +5 more
semanticscholar   +1 more source

Further Generalizations of Some Fractional Integral Inequalities

Fractal and Fractional, 2023
This paper aims to establish generalized fractional integral inequalities for operators containing Mittag–Leffler functions. By applying (α,h−m)−p-convexity of real valued functions, generalizations of many well-known inequalities are obtained.
Dong Chen, Matloob Anwar, Ghulam Farid, Hafsa Yasmeen   +3 more
doaj   +1 more source

A methionine‐lined active site governs carbocation stabilization and product specificity in a bacterial terpene synthase

FEBS Letters, EarlyView.
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel, Carl P. O. Helmer, Shani Zev, Ronja Driller, Emily Buhr, Markus Reinbold, Renana Schwartz, Gabriel Foley, Mikael Boden, Daniel Garbe, Gerhard Schenk, Dan Thomas Major, Bernhard Loll, Thomas Brück   +13 more
wiley   +1 more source