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On Hilfer fractional difference operator

open access: yesAdvances in Difference Equations, 2020
In this article, a new definition of fractional Hilfer difference operator is introduced. Definition based properties are developed and utilized to construct fixed point operator for fractional order Hilfer difference equations with initial condition. We
Syed Sabyel Haider   +2 more
doaj   +1 more source

Landau’s inequality for the difference operator [PDF]

open access: yesProceedings of the American Mathematical Society, 1988
The best constants for Landau’s inequality with the classical p p -norms are known explicitly only when
Kwong, Man Kam, Zettl, A.
openaire   +2 more sources

The homogeneous q-difference operator

open access: yesAdvances in Applied Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
William Y. C. Chen   +2 more
openaire   +4 more sources

The operator difference in absolute geomagnetic measurements [PDF]

open access: yesGeoscientific Instrumentation, Methods and Data Systems, 2019
Absolute geomagnetic measurement is very important at geomagnetic observatories. It plays a decisive role in data quality control and instrument calibration.
Y. He   +7 more
doaj   +1 more source

A new aspect of generalized integral operator and an estimation in a generalized function theory

open access: yesAdvances in Difference Equations, 2021
In this paper we investigate certain integral operator involving Jacobi–Dunkl functions in a class of generalized functions. We utilize convolution products, approximating identities, and several axioms to allocate the desired spaces of generalized ...
Shrideh Al-Omari   +2 more
doaj   +1 more source

Boundary value problem for mixed-compound equation with fractional derivative, functional delay and advance

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
We study the Tricomi problem for the functional-differential mixed-compound equation $LQu(x,y)=0$ in the class of twice continuously differentiable solutions.
Alexandr Nikolaevich Zarubin   +1 more
doaj   +1 more source

Taylor theory associated with Hahn difference operator

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we establish Taylor theory based on Hahn’s difference operator D q , ω $D_{q,\omega}$ which is defined by D q , ω f ( t ) = f ( q t + ω ) − f ( t ) t ( q − 1 ) + ω $D_{q,\omega}f(t)=\frac{f(qt+\omega)-f(t)}{t(q-1)+\omega}$ , t ≠ ω 1 − q $t\
Karima Oraby, Alaa Hamza
doaj   +1 more source

On two new types of statistical convergence and a summability method - doi: 10.4025/actascitechnol.v36i1.16206

open access: yesActa Scientiarum: Technology, 2014
In this paper, we introduce and investigate relationship among I-statistically Delta_r^s -convergent, I-lambda-statistically Delta_r^s-convergent and I-[V, lambda, Delta_r^s]-summable sequences respectively over normed linear ...
Hemen Dutta   +2 more
doaj   +1 more source

On spectral properties of a nonselfadjoint difference operator [PDF]

open access: yesКомпьютерные исследования и моделирование, 2010
The eigenvalue problem for a nonselfadjoint difference operator with nonconstant coefficient is considered. The main peculiarity of the problem is that its solution satisfies a two-point nonlocal boundary condition.
Andrey Yur'evich Mokin
doaj   +1 more source

Optimizing Finite-Difference Operator in Seismic Wave Numerical Modeling

open access: yesAlgorithms, 2022
The finite-difference method is widely used in seismic wave numerical simulation, imaging, and waveform inversion. In the finite-difference method, the finite difference operator is used to replace the differential operator approximately, which can be ...
Hui Li   +4 more
doaj   +1 more source

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