Results 11 to 20 of about 309,348 (305)
Integration by Parts and Martingale Representation for a Markov Chain [PDF]
Abstract and Applied Analysis, 2014 Integration-by-parts formulas for functions of fundamental jump processes relating to a continuous-time, finite-state Markov chain are derived using Bismut's change of measures approach to Malliavin calculus.
Tak Kuen Siu
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Integration by parts for the L^r Henstock-Kurzweil integral [PDF]
Electronic Journal of Differential Equations, 2015 Musial and Sagher [4] described a Henstock-Kurzweil type integral that integrates $L^r$-derivatives. In this article, we develop a product rule for the $L^r$-derivative and then an integration by parts formula.
Paul Musial, Francesco Tulone
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Aequationes Mathematicae, 1973 Many theorems of integration theory are true for a wide range of definitions of integrals. One such theorem is that giving integration by parts, and we discuss it in this paper.
Schwabik, Štefan
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Integration by parts without differentiation [PDF]
, 2012 We prove the classical integration-by-parts formula without using differentiation. This provides an elementary illustration that integration by parts is valid for many non-differentiable functions.
Muñoz, Vicente
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The neutrosophic integrals by parts [PDF]
Neutrosophic Sets and Systems, 2021 The purpose of this article is to study the neutrosophic integrals by parts, all cases in which we can apply integration by parts are discussed, including solve the repeated and non-terminating functions like the product of trigonometric and exponential ...
Yaser Ahmad Alhasan
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A novel approach to integration by parts reduction
Physics Letters B, 2015 Integration by parts reduction is a standard component of most modern multi-loop calculations in quantum field theory. We present a novel strategy constructed to overcome the limitations of currently available reduction programs based on Laporta's ...
Andreas von Manteuffel +1 more
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State maps from integration by parts [PDF]
, 2011 We develop a new approach to the construction of state vectors for linear time-invariant systems described by higher-order differential equations. The basic observation is that the concatenation of two solutions of higher-order differential equations ...
Paolo Rapisarda +7 more
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A family of definite integrals involving Legendre’s polynomials
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The main objective of this article is to provide the analytical solutions (not previously found and not available in the literature) of some problems related with definite integrals integrands of which are the products of the derivatives of Legendre’s ...
M.I. Qureshi, S.H. Malik, D. Ahmad
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An Extension of the 1-Dim Lebesgue Integral of a Product of Two Functions
Mathematics, 2023 In this paper, our main aim is to present a reasonable extension of the 1-dim Lebesgue integral of the product of two functions, in case this Lebesgue integral does not exist (i.e., the integrals of its negative and positive parts are both ∞).
Clara Carlota, António Ornelas
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Some notes on summation by parts time integration methods
Results in Applied Mathematics, 2019 Some properties of numerical time integration methods using summation by parts (SBP) operators and simultaneous approximation terms are studied. These schemes can be interpreted as implicit Runge-Kutta methods with desirable stability properties such as ...
Hendrik Ranocha
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