scholarly journals Uniform norm estimates of Bernstein-type for lacunary-type complex polyomials

2021 ◽  
pp. 39-47
Author(s):  
Abdullah Mir ◽  
Adil Hussain
Keyword(s):  
Uniform Norm ◽  
Bernstein Type ◽  
Norm Estimates ◽  
Type Complex

scholarly journals Integral norm estimates for the polar derivative of Lacunary-type complex polynomials

2020 ◽  
pp. 36-36
Author(s):  
Abdullah Mir
Keyword(s):  
Uniform Norm ◽  
Complex Polynomials ◽  
Polar Derivative ◽  
Norm Inequalities ◽  
Norm Estimates ◽  
Integral Norm ◽  
Type Complex

In this paper, we prove some integral-norm inequalities for the polar derivative of Lacunary-type complex polynomials having zeros in closed exterior or closed interior of a circle. The results obtained besides derive polar derivative analogues of some classical Bernstein and Tur?n-type inequalities for the uniform-norm also include several interesting generalizations and refinements of some integral-norm inequalities for polynomials as well.

Essential norms of weighted differentiation composition operators between Zygmund type spaces and Bloch type spaces

Filomat ◽  
2017 ◽  
Vol 31 (9) ◽  
pp. 2877-2889 ◽  
Author(s):  
Amir Sanatpour ◽  
Mostafa Hassanlou
Keyword(s):  
Composition Operators ◽  
Sufficient Conditions ◽  
Essential Norm ◽  
Necessary And Sufficient Conditions ◽  
Norm Estimates ◽  
Type Spaces ◽  
Necessary And Sufficient

We study boundedness of weighted differentiation composition operators Dk?,u between Zygmund type spaces Z? and Bloch type spaces ?. We also give essential norm estimates of such operators in different cases of k ? N and 0 < ?,? < ?. Applying our essential norm estimates, we get necessary and sufficient conditions for the compactness of these operators.

scholarly journals Deciphering the Role of Residues Involved in Disorder-To-Order Transition Regions in Archaeal tRNA Methyltransferase 5

Genes ◽  
2021 ◽  
Vol 12 (3) ◽  
pp. 399
Author(s):  
Ambuj Srivastava ◽  
Dhanusha Yesudhas ◽  
Shandar Ahmad ◽  
M. Michael Gromiha
Keyword(s):  
Three Dimensional ◽  
Md Simulations ◽  
Order Transition ◽  
Free Form ◽  
Wild Type ◽  
Intrinsically Disordered ◽  
Intrinsically Disordered Regions ◽  
Type Complex ◽  
In The Wild ◽  
Trna Methyltransferase

tRNA methyltransferase 5 (Trm5) enzyme is an S-adenosyl methionine (AdoMet)-dependent methyltransferase which methylates the G37 nucleotide at the N1 atom of the tRNA. The free form of Trm5 enzyme has three intrinsically disordered regions, which are highly flexible and lack stable three-dimensional structures. These regions gain ordered structures upon the complex formation with tRNA, also called disorder-to-order transition (DOT) regions. In this study, we performed molecular dynamics (MD) simulations of archaeal Trm5 in free and complex forms and observed that the DOT residues are highly flexible in free proteins and become stable in complex structures. The energetic contributions show that DOT residues are important for stabilising the complex. The DOT1 and DOT2 are mainly observed to be important for stabilising the complex, while DOT3 is present near the active site to coordinate the interactions between methyl-donating ligands and G37 nucleotides. In addition, mutational studies on the Trm5 complex showed that the wild type is more stable than the G37A tRNA mutant complex. The loss of productive interactions upon G37A mutation drives the AdoMet ligand away from the 37th nucleotide, and Arg145 in DOT3 plays a crucial role in stabilising the ligand, as well as the G37 nucleotide, in the wild-type complex. Further, the overall energetic contribution calculated using MMPBSA corroborates that the wild-type complex has a better affinity between Trm5 and tRNA. Overall, our study reveals that targeting DOT regions for binding could improve the inhibition of Trm5.

scholarly journals Norm estimates for Chebyshev polynomials, I

2021 ◽  
pp. 105561
Author(s):  
Klaus Schiefermayr ◽  
Maxim Zinchenko
Keyword(s):  
Chebyshev Polynomials ◽  
Norm Estimates

A 4-acyl-5-pyrazolone ligand (HQ) in N-unidentate coordination mode in a Rh(CO)2Cl(HQ)-type complex

2004 ◽  
Vol 7 (2) ◽  
pp. 235-237 ◽  
Author(s):  
Augusto Cingolani ◽  
Fabio Marchetti ◽  
Claudio Pettinari ◽  
Riccardo Pettinari ◽  
Brian W. Skelton ◽  
...  
Keyword(s):  
Coordination Mode ◽  
Type Complex

The Synthesis and Biological Function of a Novel Sandwich‐Type Complex Based on {SbW 9 } and Flexible bpp Ligand

2019 ◽  
Vol 8 (18) ◽  
pp. 1900471 ◽  
Author(s):  
Lu Wang ◽  
Shubin Li ◽  
Yu Kai ◽  
Jiang Zhu ◽  
Huijie Shi ◽  
...  
Keyword(s):  
Biological Function ◽  
Type Complex ◽  
Sandwich Type
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