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Nonstandard definition of the Stratonovich integral
Published 1998-08-01“…By using the relation between the Ito integral and the Stratonovich integral, a nonstandard definition of the Stratonovich integral is given.…”
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262
Riemann Integral on Fractal Structures
Published 2024-01-01Subjects: “…Riemann integral…”
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263
Unification of integral transforms and their applications
Published 2024-06-01“…An integral transform called BA-transform is introduced in this work, which yields a known number of transforms by changing variables. …”
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264
The Selberg integral and Young books
Published 2014-01-01Subjects: “…selberg integral…”
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ESA INTEGRAL and Cataclysmic Variables
Published 2017-04-01“…The satellite INTEGRAL is ESA project operating since January 2003. …”
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Generalized integral Jensen inequality
Published 2024-02-01“…Some properties of preinvex functions and new versions of Jensen’s integral type inequality in this setting are given. …”
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Rough Marcinkiewicz integral operators
Published 2001-01-01“…We study the Marcinkiewicz integral operator M𝒫f(x)=(∫−∞∞|∫|y|≤2tf(x−𝒫(y))(Ω(y)/|y|n−1)dy|2dt/22t)1/2, where 𝒫 is a polynomial mapping from ℝn into ℝd and Ω is a homogeneous function of degree zero on ℝn with mean value zero over the unit sphere Sn−1. …”
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277
The Multiple K-Riemann Integral
Published 2021-01-01“…The aim of this paper is to extend the notion of K-Riemann integrability of functions defined over a,b to functions defined over a rectangular box of ℝn. …”
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278
On the generalized Mellin integral operators
Published 2024-02-01“…Then, we express the Taylor formula including Mellin derivatives with integral remainder. Later, a Voronovskaya-type theorem is proved. …”
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