Results 11 to 20 of about 1,848,450 (268)
Estimates For An Integral In Lp Norm Of The (N + 1)-Th Derivative Of Its Integrand [PDF]
, 2000 Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n + 1)-th derivative of its integrand, and the Iyengar’s inequality and many other useful inequalities are ...
Qi, Feng, Guo, Bai-Ni
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Communications in Advanced Mathematical SciencesThe concept of soft derivative, introduced by Molodtsov in 1999, is one of the fundamental concepts in soft analysis. The handled paper defines partial soft derivative and studies some of its basic properties, such as the relation between partial soft ...
Serdar Enginoğlu, Burak Arslan
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Schur partial derivative operators [PDF]
European Journal of Combinatorics, 2005 8 pages ...
Jean-Christophe Aval, Nantel Bergeron
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Global extrapolation procedures for linear partial differential equations [PDF]
, 1987 Global extrapolation procedures, in space and time are considered for the numerical Solution of linear partial differential equations. Global extrapolation procedures in time only are reviewed.
Twizell, E H
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The Riemann method for equations with a dominant partial derivative (A Review) [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 This review article is devoted to a class of linear equations with a dominant (leading) partial derivative of the form \((D+M)u=f\), where \(Du\) is a mixed partial derivative, and \(M\) is a linear differential operator containing the derivatives of the
Aleksey N. Mironov +2 more
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On the complexity of partial derivatives
CoRR, 2016 The method of partial derivatives is one of the most successful lower bound methods for arithmetic circuits. It uses as a complexity measure the dimension of the span of the partial derivatives of a polynomial. In this paper, we consider this complexity measure as a computational problem: for an input polynomial given as the sum of its nonzero ...
Garcia-Marco, Ignacio +3 more
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On the differentiation of a composite function with a generalized vector argument on homogeneous time scales; pp. 309–322 [PDF]
Proceedings of the Estonian Academy of Sciences, 2017 The paper proves a theorem on the differentiation of a composite function with a generalized vector argument. The theorem is formulated in terms of the delta derivative, which in the case of homogeneous time scales incorporates both the ordinary ...
Vadim Kaparin, Ülle Kotta
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Combinatorics of Partial Derivatives [PDF]
The Electronic Journal of Combinatorics, 2006 The natural forms of the Leibniz rule for the $k$th derivative of a product and of Faà di Bruno's formula for the $k$th derivative of a composition involve the differential operator $\partial^k/\partial x_1 \cdots \partial x_k$ rather than $d^k/dx^k$, with no assumptions about whether the variables $x_1,\dots,x_k$ are all distinct, or all identical, or
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Karpatsʹkì Matematičnì Publìkacìï, 2017 We generalized some criteria of boundedness of $\mathbf{L}$-index in joint variables for analytic in a bidisc functions, where $\mathbf{L}(z)=(l_1(z_1,z_2),$ $l_{2}(z_1,z_2)),$ $l_j:\mathbb{D}^2\to \mathbb{R}_+$ is a continuous function, $j\in\{1,2\},$
A.I. Bandura, N.V. Petrechko
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Traces, extensions, co-normal derivatives and solution regularity of elliptic systems with smooth and non-smooth coefficients [PDF]
, 2009 For functions from a Sobolev space, definitions of non-unique generalised and unique canonical co-normal derivative are considered, which are related to possible extensions of a partial differential operator and its right hand side from the domain ...
Mikhailov, SE
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