Certain Results Comprising the Weighted Chebyshev Function Using Pathway Fractional Integrals
Mathematics, 2019 An analogous version of Chebyshev inequality, associated with the weighted function, has been established using the pathway fractional integral operators. The result is a generalization of the Chebyshev inequality in fractional integral operators.
Aditya Mani Mishra +3 more
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Valuing American Put Options Using Chebyshev Polynomial Approximation [PDF]
, 2005 This paper suggests a simple valuation method based on Chebyshev approximation at Chebyshev nodes to value American put options. It is similar to the approach taken in Sullivan (2000), where the option`s continuation region function is estimated by using
Caporale, GM, Cerrato, M
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Weight functions for Chebyshev quadrature [PDF]
Mathematics of Computation, 1989 In this paper, we investigate if the weight function ( 1 − x 2 ) − 1 / 2 R ( x ...
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Parallel eigensolvers in plane-wave Density Functional Theory [PDF]
, 2014 We consider the problem of parallelizing electronic structure computations in plane-wave Density Functional Theory. Because of the limited scalability of Fourier transforms, parallelism has to be found at the eigensolver level.
Levitt, Antoine, Torrent, Marc
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Chebyshev Inequality in Function Spaces
Real Analysis Exchange, 1991 This paper gives new variants, generalizations and abstractions of the well-known Chebyshev inequality for monotonic functions. For example, the following result was proved by reviewer's method: Let \(K\) be a positive continuous function on \(I^ 2\;(I=[0,a],a>0)\) and suppose \(f:I^ 2\to[0,\infty)\) is a continuous positive set function. a) If for all
Heinig, Hans P., Maligranda, Lech
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Functional Tensor-Train Chebyshev Method for Multidimensional Quantum Dynamics Simulations. [PDF]
Journal of Chemical Theory and Computation, 2021 Methods for efficient simulations of multidimensional quantum dynamics are essential for theoretical studies of chemical systems where quantum effects are important, such as those involving rearrangements of protons or electronic configurations. Here, we
Micheline B. Soley +3 more
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Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators
Fractal and Fractional, 2021 In this paper, we introduce the generalized left-side and right-side fractional integral operators with a certain modified ML kernel. We investigate the Chebyshev inequality via this general family of fractional integral operators.
Hari Mohan Srivastava +3 more
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Unified treatment of fractional integral inequalities via linear functionals [PDF]
, 2016 In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc.
Bombardelli, Mea +2 more
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Semi-Automated Creation of Density Functional Tight Binding Models through Leveraging Chebyshev Polynomial-Based Force Fields. [PDF]
Journal of Chemical Theory and Computation, 2021 Density functional tight binding (DFTB) is an attractive method for accelerated quantum simulations of condensed matter due to its enhanced computational efficiency over standard density functional theory (DFT) approaches.
N. Goldman +10 more
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Tutte's invariant approach for Brownian motion reflected in the quadrant [PDF]
, 2016 We consider a Brownian motion with drift in the quarter plane with orthogonal reflection on the axes. The Laplace transform of its stationary distribution satisfies a functional equation, which is reminiscent from equations arising in the enumeration of (
Franceschi, Sandro, Raschel, Kilian
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