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   Articles with "bernoulli polynomials" as a keyword



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Some best possible integral estimates involving Bernoulli polynomials

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recommendations! Published in 2021 at "Archiv der Mathematik"

DOI: 10.1007/s00013-021-01640-x

Abstract: We present some new, best possible, integral estimates involving the $$L^2$$ -norm of the second derivative of smooth (periodic and non-periodic) functions. read more here.

Keywords: estimates involving; best possible; possible integral; bernoulli polynomials ... See more keywords
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Generalized Bernoulli Polynomials: Solving Nonlinear 2D Fractional Optimal Control Problems

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recommendations! Published in 2020 at "Journal of Scientific Computing"

DOI: 10.1007/s10915-020-01213-0

Abstract: This work develops an optimization method based on a new class of basis function, namely the generalized Bernoulli polynomials (GBP), to solve a class of nonlinear 2-dim fractional optimal control problems. The problem is generated… read more here.

Keywords: control; bernoulli polynomials; nonlinear fractional; generalized bernoulli ... See more keywords
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Identities for Bernoulli polynomials related to multiple Tornheim zeta functions

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recommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2019.03.071

Abstract: We show that each member of a doubly infinite sequence of highly nonlinear expressions of Bernoulli polynomials, which can be seen as linear combinations of certain higher-order convolutions, is a multiple of a specific product… read more here.

Keywords: tornheim zeta; bernoulli polynomials; multiple tornheim; zeta functions ... See more keywords
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Some results for q-poly-Bernoulli polynomials with a parameter

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recommendations! Published in 2018 at "Miskolc Mathematical Notes"

DOI: 10.18514/mmn.2018.2435

Abstract: The main object of this paper is to investigate a new class of the generalized q-polyBernoulli numbers and polynomials with a parameter. We give explicit formulas and a recursive method for the calculation of the… read more here.

Keywords: results poly; bernoulli polynomials; poly bernoulli; polynomials parameter ... See more keywords
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A Note on Degenerate Euler and Bernoulli Polynomials of Complex Variable

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recommendations! Published in 2019 at "Symmetry"

DOI: 10.3390/sym11091168

Abstract: Recently, the so-called new type Euler polynomials have been studied without considering Euler polynomials of a complex variable. Here we study degenerate versions of these new type Euler polynomials. This has been done by considering… read more here.

Keywords: euler; bernoulli polynomials; complex variable; euler polynomials ... See more keywords
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Lagrange-Based Hypergeometric Bernoulli Polynomials

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym14061125

Abstract: Special polynomials play an important role in several subjects of mathematics, engineering, and theoretical physics. Many problems arising in mathematics, engineering, and mathematical physics are framed in terms of differential equations. In this paper, we… read more here.

Keywords: based hypergeometric; hypergeometric bernoulli; bernoulli polynomials; lagrange based ... See more keywords