Derivative observations in Gaussian Process models of dynamic systems [PDF]
, 2003 Gaussian processes provide an approach to nonparametric modelling which allows a straightforward combination of function and derivative observations in an empirical model.
Rasmussen, C.E. +4 more
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Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials [PDF]
, 2022 In recent years, the usage of the q-derivative and symmetric q-derivative operators is significant. In this study, firstly, many known concepts of the q-derivative operator are highlighted and given.
Araci, Serkan +11 more
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Meromorphic functions with missing coefficients defined by $q$-derivative [PDF]
, 2023 By considering a fixed point in the punctured unit disk and using the $q$--derivative, a new subfamily of meromorphic and univalent functions is defined.
Tahereh Behpour +3 more
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Some q-Identities derived by the ordinary derivative operator [PDF]
, 2023 In this paper, we investigate applications of the ordinary derivative operator, instead of the $q$-derivative operator, to the theory of $q$-series. As main results, many new summation and transformation formulas are established which are closely related
Ma, Xinrong, Ruan, Ruiqi, Wang, Jin
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Approach of $q$-Derivative Operators to Terminating $q$-Series Formulae [PDF]
, 2018 summary:The $q$-derivative operator approach is illustrated by reviewing several typical summation formulae of terminating basic hypergeometric ...
Wang, Xiaoyuan, Chu, Wenchang
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A certain ( p , q ) $(p,q)$ -derivative operator and associated divided differences [PDF]
, 2016 Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D q $D_{q}$ and divided difference. As applications of the post-quantum calculus known as the ( p , q ) $(
Araci, Serkan +7 more
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
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A Note on the q-Derivative Operator [PDF]
, 1993 The following statement is proved. If the q-derivative operator Dq is defined by [formula] for functions ƒ which are differentiable at x = 0, then we have for every positive integer n[formula] for every function ƒ whose nth derivative at x = 0 exists. We
Koekoek, R., Koekoek, J.
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Applications of Higher-Order q-Derivative to Meromorphic q-Starlike Function Related to Janowski Function [PDF]
, 2022 By making use of a higher-order q-derivative operator, certain families of meromorphic q-starlike functions and meromorphic q-convex functions are introduced and studied.
Jin-Lin Liu +5 more
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Kober fractional q-derivative operators [PDF]
, 2011 In the present paper, we define right and left sided Kober fractional q-derivative operators and show that these derivative operators are left inverse operators of Kober fractional q-integral operators.
Mridula Garg +3 more
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