Inequalities between the upper bounds of the derivatives of an arbitrary function on the half-line

1967 ◽  
Vol 1 (6) ◽  
pp. 442-447
Author(s):  
S. B. Stechkin

2021 ◽  
Vol 17 ◽  
pp. 31
Author(s):  
V.F. Babenko ◽  
N.V. Parfinovich

New exact inequalities for Hadamard fraction derivatives of functions, defined on the half-line, are obtained.



1995 ◽  
Vol 10 (28) ◽  
pp. 4087-4105 ◽  
Author(s):  
KH. S. NIROV

A Hamiltonian description is constructed for a wide class of mechanical systems having local symmetry transformations depending on time derivatives of the gauge parameters of arbitrary order. The Poisson brackets of the Hamiltonian and constraints with each other and with an arbitrary function are explicitly obtained. The constraint algebra is proved to be of the first class.







Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1382
Author(s):  
Ye Tian ◽  
Tao Ning ◽  
Jixing Li ◽  
Jianmin Zheng ◽  
Zhitong Chen

The Non-Uniform Rational B-spline (NURBS) surface not only has the characteristics of the rational Bézier surface, but also has changeable knot vectors and weights, which can express the quadric surface accurately. In this paper, we investigated new bounds of the first- and second-order partial derivatives of NURBS surfaces. A pilot study was performed using inequality theorems and degree reduction of B-spline basis functions. Theoretical analysis provides simple forms of the new bounds. Numerical examples are performed to illustrate that our method has sharper bounds than the existing ones.





1998 ◽  
Vol 6 (4) ◽  
pp. 669-685 ◽  
Author(s):  
Daniel W. Stroock ◽  
James Turetsky


2021 ◽  
Vol 18 ◽  
pp. 38
Author(s):  
V.F. Babenko ◽  
N.V. Parfinovich

New exact inequalities for Hadamard fractional derivatives of functions, defined on the half-line, are obtained.



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