共查询到20条相似文献,搜索用时 15 毫秒
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An algorithm for finding inverse Laplace transforms of exponential form for two classes of functions is established and used to derive a set of new formulas which are presented as a table of Laplace transform pairs. These formulas are useful in problems in fluid mechanics. 相似文献
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Mahide Küçük Ryszard Urbański Jerzy Grzybowski Yalçın Küçük İlknur Atasever Güvenç 《Optimization》2016,65(11):1949-1961
In this study, some relationships between quasidifferentiability and weakly subdifferentiability of a function are investigated, and some results on calculating the quasidifferential in terms of weak exhausters are presented. Moreover, under some assumptions weak subdifferentiability of a quasidifferentiable function is proved and the weak subdifferential is obtained by using the quasidifferential. Under some assumptions, it is proved that a positively homogeneous and lower semicontinuous function is quasidifferentiable. It is also shown that directional differentiability and weak subdifferentiability imply quasidifferentiability. Furthermore, a method to evaluate the quasidifferential is given by using reduced weak lower exhausters. 相似文献
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We examine several interesting relationships and expressions involving Fourier-Feynman transform, convolution product and
first variation for functionals in the Fresnel class F(B) of an abstract Wiener space B. We also prove a translation theorem and Parseval's identity for the analytic Feynman integral.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
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Fulvio Ricci Giancarlo Travaglini 《Proceedings of the American Mathematical Society》2001,129(6):1739-1744
Let be a convex curve in the plane and let be the arc-length measure of Let us rotate by an angle and let be the corresponding measure. Let . Then This is optimal for an arbitrary . Depending on the curvature of , this estimate can be improved by introducing mixed-norm estimates of the form where and are conjugate exponents. 相似文献
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K. S. Chang D. H. Cho B. S. Kim T. S. Song I. Yoo 《Transactions of the American Mathematical Society》2008,360(4):1819-1838
Cameron and Storvick introduced the concept of a sequential Fourier-Feynman transform and established the existence of this transform for functionals in a Banach algebra of bounded functionals on classical Wiener space. In this paper we investigate various relationships between the sequential Fourier-Feynman transform and the convolution product for functionals which need not be bounded or continuous. Also we study the relationships involving this transform and the first variation.
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Roxana Bujack Gerik Scheuermann Eckhard Hitzer 《Mathematical Methods in the Applied Sciences》2016,39(7):1877-1890
T. Qian As it will turn out in this paper, the recent hype about most of the Clifford–Fourier transforms is not thoroughly worth the pain. Almost everyone that has a real application is separable, and these transforms can be decomposed into a sum of real valued transforms with constant multivecor factors. This fact makes their interpretation, their analysis, and their implementation almost trivial. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
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We prove that every hesitant fuzzy set on a set E can be considered either a soft set over the universe or a soft set over the universe E. Concerning converse relationships, for denumerable universes we prove that any soft set can be considered even a fuzzy set. Relatedly, we demonstrate that every hesitant fuzzy soft set can be identified with a soft set, thus a formal coincidence of both notions is brought to light. Coupled with known relationships, our results prove that interval type-2 fuzzy sets and interval-valued fuzzy sets can be considered as soft sets over the universe . Altogether we contribute to a more complete understanding of the relationships among various theories that capture vagueness and imprecision. 相似文献
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Chull Park David Skoug David Storvick 《Rendiconti del Circolo Matematico di Palermo》1998,47(2):277-292
In this paper we complete the following four objectives: 1. We obtain an integration by parts formula for analytic Feynman
integrals. 2. We obtain an integration by parts formula for Fourier-Feynman transforms. 3. We find the Fourier-Feynman transform
of a functionalF from a Banach algebra
after it has been multiplied byn linear factors. 4. We evaluate the analytic Feynman integral of functionals like those described in 3 above. A very fundamental
result by Cameron and Storvick [5, Theorem 1], in which they express the analytic Feynman integral of the first variation
of a functionalF in terms of the analytic Feynman integral ofF multiplied by a linear factor, plays a key role throughout this paper. 相似文献
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Daniel M. Oberlin 《Transactions of the American Mathematical Society》2002,354(6):2541-2556
We introduce a class of convolution inequalities and study the implications of these inequalities for certain problems in harmonic analysis.
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M. Obradovi? 《Journal of Mathematical Analysis and Applications》2007,336(2):758-767
Let U(λ) denote the class of all analytic functions f in the unit disk Δ of the form f(z)=z+a2z2+? satisfying the condition
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《Optimization》2012,61(3):627-640
AbstractIn this work, we give some characterizations of gw-subdifferentiability of a vector-valued function by using its directional derivative and radial epiderivative. Moreover, under some assumptions, we proved that the directional derivative and radial epiderivative of a vector-valued function are the elements of the supremum set of gw-subgradients of it. Finally, without any convexity assumption, we proved that the epigraph of contingent derivative of a set valued map is included in the epigraph of contingent epiderivative of this set-valued map. 相似文献
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Dirk Veestraeten 《Integral Transforms and Special Functions》2020,31(5):368-382
ABSTRACTThe Laplace transforms of the transition probability density and distribution functions of the Feller process contain products of a Kummer and a Tricomi confluent hypergeometric function. The intricacies caused by the singularity at 0 of the Feller process imply that ultimately seven new inverse Laplace transforms can be derived of which four contain the Marcum Q function. The results of this paper together with a scarcely used link between the Marcum and Nuttall Q functions also provide two alternative proofs for an existing identity involving two Marcum Q functions with reversed arguments. The paper also expands the existing expression for the Marcum Q function with identical arguments and order 1. In particular, the new formula applies to all integer and fractional values of the order and is expressed in terms of the generalized hypergeometric function. 相似文献
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N. P. Kuptsov 《Mathematical Notes》1970,7(6):458-466
An author's summary of a thesis submitted for the degree of Doctor of Physico-Mathematical Sciences. The dissertation was defended December 19, 1969, at a session of the scientific council of the Mechanical-Mathematics Faculty of the M. V. Lomonosov Moscow State University. The official opponents were Professors V. K. Dzyadyk, B. M. Levitan, and S. B. Stechkin, all Doctors of physico-mathematical sciences.Translated from Matematicheskie Zametki, Vol. 7, No. 6, pp. 765–778, June, 1970. 相似文献
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Translated from Matematicheskie Zametki, Vol. 48, No. 5, pp. 97–108, November, 1990. 相似文献