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New subclass of meromorphic harmonic functions defined by symmetric q-calculus and domain of Janowski functions. [PDF]
HeliyonAbubakar AA +4 more
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On Ostrowski inequality for quantum calculus
Applied Mathematics and Computation, 2021We disprove a version of Ostrowski inequality for quantum calculus appearing in the literature. We derive a correct statement and prove that our new inequality is sharp. We also derive a midpoint inequality.
Aglić-Aljinović, Andrea +3 more
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On Linear Dynamics in Quantum Calculus
Results in Mathematics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bennasr, Lassad +2 more
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Quantum Probability Calculus as Fuzzy-Kolmogorovian Probability Calculus
AIP Conference Proceedings, 2009Representation of quantum logics by families of fuzzy sets allows to build fuzzy set‐theoretic models of quantum probability spaces in a way fully analogous to the Kolmogorov construction of a classical probability space. Therefore, quantum probability calculus on the one hand may be seen as a special kind of fuzzy probability calculi, and on the other
Jarosław Pykacz +7 more
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1986
The basic integrator processes of quantum stochastic calculus, namely, creation, conservation, and annihilation, are introduced in the Hilbert space of square integrable Brownian functionals. Stochastic integrals with respect to these processes and a quantum Ito’s formula are described.
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The basic integrator processes of quantum stochastic calculus, namely, creation, conservation, and annihilation, are introduced in the Hilbert space of square integrable Brownian functionals. Stochastic integrals with respect to these processes and a quantum Ito’s formula are described.
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2014
Introduces readers to the treatment of the calculus of variations with q-differences and Hahn difference operators Provides the reader with the first extended treatment of quantum variational calculus Shows how the techniques described can be applied to economic models as well as other mathematical systems This Brief puts together two subjects, quantum
Malinowska, Agnieszka B., Torres, Delfim
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Introduces readers to the treatment of the calculus of variations with q-differences and Hahn difference operators Provides the reader with the first extended treatment of quantum variational calculus Shows how the techniques described can be applied to economic models as well as other mathematical systems This Brief puts together two subjects, quantum
Malinowska, Agnieszka B., Torres, Delfim
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2002
The q- and h-differentials may be “symmetrized“ in the following way, $$ \tilde d_q f(x) = f(qx) - f(q^{ - 1} x), $$ (26.1) $$ \tilde d_h g(x) = g(x + h) - g(x - h), $$ (26.2) where as usual, q ≠ 1 and h ≠ 0. The definitions of the corresponding derivatives follow obviously: $$ \tilde D_q f(x) = \frac{{\tilde d_q f(x)}} {{\tilde
Victor Kac, Pokman Cheung
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The q- and h-differentials may be “symmetrized“ in the following way, $$ \tilde d_q f(x) = f(qx) - f(q^{ - 1} x), $$ (26.1) $$ \tilde d_h g(x) = g(x + h) - g(x - h), $$ (26.2) where as usual, q ≠ 1 and h ≠ 0. The definitions of the corresponding derivatives follow obviously: $$ \tilde D_q f(x) = \frac{{\tilde d_q f(x)}} {{\tilde
Victor Kac, Pokman Cheung
openaire +1 more source