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Approximation of functions by a class of Durrmeyer–Stancu type operators which includes Euler’s beta function

open access: yesAdvances in Difference Equations, 2021
In this work, we construct the genuine Durrmeyer–Stancu type operators depending on parameter α in [ 0 , 1 ] $[0,1]$ as well as ρ > 0 $\rho >0$ and study some useful basic properties of the operators.
Abdullah Alotaibi   +3 more
doaj   +1 more source

Dunkl-type generalization of the second kind beta operators via ( p , q ) $(p,q)$ -calculus

open access: yesJournal of Inequalities and Applications, 2021
The main purpose of this research article is to construct a Dunkl extension of ( p , q ) $(p,q)$ -variant of Szász–Beta operators of the second kind by applying a new parameter.
Md. Nasiruzzaman   +2 more
doaj   +1 more source

Operational Resource Theory of Imaginarity [PDF]

open access: yesPhysical Review Letters, 2021
Wave-particle duality is one of the basic features of quantum mechanics, giving rise to the use of complex numbers in describing states of quantum systems, their dynamics, and interaction. Since the inception of quantum theory, it has been debated whether complex numbers are actually essential, or whether an alternative consistent formulation is ...
Kang-Da Wu   +9 more
openaire   +4 more sources

Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem

open access: yesJournal of Function Spaces, 2022
Two concepts—one of Darbo-type theorem and the other of Banach sequence spaces—play a very important and active role in ongoing research on existence problems.
S. A. Mohiuddine   +2 more
doaj   +1 more source

Handle operators in string theory [PDF]

open access: yesPhysics Reports, 2021
We derive how to incorporate topological features of Riemann surfaces in string amplitudes by insertions of bi-local operators called handle operators. The resulting formalism is exact and globally well-defined in moduli space. After a detailed and pedagogical discussion of Riemann surfaces, complex structure deformations, global vs local aspects ...
Dieter Lust   +3 more
openaire   +3 more sources

On the Approximation by Bivariate Szász–Jakimovski–Leviatan-Type Operators of Unbounded Sequences of Positive Numbers

open access: yesMathematics, 2023
In this paper, we construct the bivariate Szász–Jakimovski–Leviatan-type operators in Dunkl form using the unbounded sequences αn, βm and ξm of positive numbers.
Abdullah Alotaibi
doaj   +1 more source

Operational locality in global theories [PDF]

open access: yesPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2018
Within a global physical theory, a notion of locality allows us to find and justify information-processing primitives, like non-signalling between distant agents. Here, we propose exploring the opposite direction: to take agents as the basic building blocks through which we test a physical theory, and recover operational notions of locality from ...
Lea Krämer   +2 more
openaire   +7 more sources

Approximation of GBS Type q-Jakimovski-Leviatan-Beta Integral Operators in Bögel Space

open access: yesMathematics, 2022
In the present article, we introduce the bivariate variant of Beta integral type operators based on Appell polynomials via q-calculus. We study the local and global type approximation properties for these new operators.
Abdullah Alotaibi
doaj   +1 more source

On the theory of recursion operator [PDF]

open access: yesCommunications in Mathematical Physics, 1984
The general structure and properties of recursion operators for Hamiltonian systems with a finite number and with a continuum of degrees of freedom are considered. Weak and strong recursion operators are introduced. The conditions which determine weak and strong recursion operators are found.
Zakharov, V. E., Konopel'chenko, B. G.
openaire   +3 more sources

Solvability of second order linear differential equations in the sequence space n(ϕ) $n(\phi)$

open access: yesAdvances in Difference Equations, 2018
We apply the concept of measure of noncompactness to study the existence of solution of second order differential equations with initial conditions in the sequence space n(ϕ) $n(\phi)$.
Abdullah Alotaibi   +2 more
doaj   +1 more source

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