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ON KATUGAMPOLA FRACTIONAL q-INTEGRAL AND q-DERIVATIVE

Jnanabha, 2022
We first study Katugampola fractional q-integral and q-derivative in the space L1qp [a, b] and obtain some properties of these operators, which include the image of power function, semi group property and composition of these operators. Next, we look at the existence and uniqueness of solution to generalized fractional q-Cauchy type problems involving
Lata Chanchlani   +2 more
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On discrete q-derivatives of q-Bernstein operators

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science, 2022
In the present paper, we shall investigate the pointwise approximation properties of the q analog of the Bernstein operators and estimate the rate of pointwise convergence of these operators to the functions f whose q-derivatives are bounded variations on the interval [0, 1]. We give an estimate for the rate of convergence of the operator (B n, q f) at
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On the $$q$$ q -Derivatives of a Certain Linear Positive Operators

Iranian Journal of Science and Technology, Transactions A: Science, 2017
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Gairola, Asha Ram   +2 more
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Targeting Coenzyme Q Derivatives to Mitochondria

2004
Publisher Summary This chapter analyzes the approaches to target coenzyme Q derivatives to mitochondria. Coenzyme Q is an essential electron carrier and an important antioxidant in the mitochondrial inner membrane. Manipulating coenzyme Q content within mitochondria may help in understanding its functions and exploring its therapeutic potential.
Robin A J, Smith   +3 more
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q-Derivative and h-Derivative

2002
As has been mentioned in the introduction, we shall develop two types of quantum calculus, the q-calculus and the h-calculus. We begin with the notion of a quantum differential.
Victor Kac, Pokman Cheung
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q-Derivative Operators and Basic Hypergeometric Series

Results in Mathematics, 2006
By means of q-derivative operators, we investigate formal power series expansions. Two main expansion formulae in terms of q-derivative operators are established which can be considered as extensions of the corresponding results due to Carlitz (1973) and Liu (2002).
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Leibniz rule for the high q -derivatives of a quotient of two functions

Mathematical Methods in the Applied Sciences
In this paper, we introduce some explicit formulas for the positive integer order q -derivative of a quotient of two functions. We establish the connections between linear algebra, the homomorphisms between the commutative algebras and the properties of q ...
Predrag M. Rajković   +2 more
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On Fractional q-Integrals, q-Derivatives and Corresponding Equations

AIP Conference Proceedings, 2009
Based on the fractional q‐integral with the parametric lower limit of integration, we define fractional q‐derivative of Riemann‐Liouville and Caputo type. The properties are studied separately as well as relations between them and their compositions.
M. S. Stanković   +4 more
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Positive Solutions for a Class of Fractional Boundary Value Problem with q-Derivatives

Mediterranean Journal of Mathematics, 2019
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Guo, Furi, Kang, Shugui
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Classes of p-valent harmonic functions defined by q-derivative operator

Afrika Matematika, 2023
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