Results 41 to 50 of about 232,848 (300)
Approximation on a class of Phillips operators generated by q-analogue
Journal of Inequalities and Applications, 2020 The main purpose of this article is to introduce a new generalization of q-Phillips operators generated by Dunkl exponential function. We establish some approximation results for these operators. We also determine the order of approximation, and the rate
Abdullah Alotaibi
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A continuum among logarithmic, linear, and exponential functions, and its potential to improve generalization in neural networks [PDF]
International Joint Conference on Knowledge Discovery, Knowledge Engineering and Knowledge Management, 2015 We present the soft exponential activation function for artificial neural networks that continuously interpolates between logarithmic, linear, and exponential functions. This activation function is simple, differentiable, and parameterized so that it can
Luke B. Godfrey, Michael S. Gashler
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Nonlocal Probability Theory: General Fractional Calculus Approach
Mathematics, 2022 Nonlocal generalization of the standard (classical) probability theory of a continuous distribution on a positive semi-axis is proposed. An approach to the formulation of a nonlocal generalization of the standard probability theory based on the use of ...
Vasily E. Tarasov
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A GENERALIZATION OF THE EXPONENTIAL INTEGRAL AND SOME ASSOCIATED INEQUALITIES
, 2017 . In this paper, a generalization of the exponential integral is given. As a consequence, several inequalities involving the generalized function are derived.
K. Nantomah +2 more
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Integer properties of a composition of exponential generating functions [PDF]
AIP Conference Proceedings, 2017 In this paper, we study a composition of exponential generating functions. We obtain new properties of this composition, which allow to distinguish prime numbers from composite numbers. Using the results of the paper we get the known properties of the Bell numbers (Touchard’s Congruence for k = 0).In this paper, we study a composition of exponential ...
Dmitry V. Kruchinin +3 more
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Comment on "Towards a large deviation theory for strongly correlated systems"
, 2013 I comment on a recent paper by Ruiz and Tsallis [Phys. Lett. A 376, 2451 (2012)] claiming to have found a '$q$-exponential' generalization of the large deviation principle for strongly correlated random variables.
Gnedenko +5 more
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An alternative to the Cauchy distribution
MethodsX, 2019 A few generalizations of the Cauchy distribution appear in the literature. In this paper, a new generalization of the Cauchy distribution is proposed, namely, the exponentiated-exponential Cauchy distribution (EECD).
Ayman Alzaatreh
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Quaternion-Type Catalan Transforms of the ρ-Fibonacci and ρ-Lucas Numbers
Journal of Mathematics, 2023 In this paper, we define a new sequence called the quaternion-type Catalan sequence and give generating function, exponential representation, quaternionic Catalan matrix and its some properties.
Kübra Gül
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Austrian Journal of Statistics, 2022 In this article a generalization of the inverse Rayleigh distribution has been addressed by using DUS transformation, named as Exponential Transformed Inverse Rayleigh (ETIR) distribution.
Proloy Banerjee, Shreya Bhunia
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$\kappa$-generalization of Gauss' law of error
, 2005 Based on the $\kappa$-deformed functions ($\kappa$-exponential and $\kappa$-logarithm) and associated multiplication operation ($\kappa$-product) introduced by Kaniadakis (Phys. Rev.
Borges +15 more
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