scholarly journals A new type of q-Szász-Mirakjan operators

Filomat ◽  
2017 ◽  
Vol 31 (18) ◽  
pp. 5617-5628
Author(s):  
Adina Chirilă
Keyword(s):  
Uniform Convergence ◽  
Exponential Function ◽  
Identity Operator ◽  
Type Result ◽  
New Type

In this paper we introduce a new q-Sz?sz-Mirakjan operator based on a new q-exponential function. We derive various formulae for the moments, prove the uniform convergence of the sequence of operators to the identity operator on compact intervals and show a Voronovskaja type result.

scholarly journals Convergence in partially ordered groups

1973 ◽  
Vol 18 (3) ◽  
pp. 239-246
Author(s):  
Andrew Wirth
Keyword(s):  
Uniform Convergence ◽  
Banach Lattice ◽  
Order Convergence ◽  
Ordered Group ◽  
Partially Ordered ◽  
Partially Ordered Group ◽  
Ordered Groups ◽  
Integrally Closed ◽  
Relative Uniform Convergence ◽  
New Type

AbstractRelative uniform limits need not be unique in a non-archimedean partially ordered group, and order convergence need not imply metric convergence in a Banach lattice. We define a new type of convergence on partially ordered groups (R-convergence), which implies both the previous ones, and does not have these defects. Further R-convergence is equivalent to relative uniform convergence on divisible directed integrally closed partially ordered groups, and to order convergence on fully ordered groups.

scholarly journals I_2-Relative uniform convergence and Korovkin type approximation

2021 ◽  
Vol 25 (2) ◽  
pp. 189-200
Author(s):  
Sevda Yildiz
Keyword(s):  
Uniform Convergence ◽  
Approximation Theorem ◽  
Double Sequences ◽  
Korovkin Type Approximation Theorem ◽  
Type Approximation ◽  
Relative Uniform Convergence ◽  
New Type ◽  
First Time

In the present paper, an interesting type of convergence named ideal relative uniform convergence for double sequences of functions has been introduced for the first time. Then, the Korovkin type approximation theorem via this new type of convergence has been proved. An example to show that the new type of convergence is stronger than the convergence considered before has been given. Finally, the rate of  I2-relative uniform convergence has been computed.

scholarly journals Strong Whitney convergence

Filomat ◽  
2012 ◽  
Vol 26 (1) ◽  
pp. 81-91
Author(s):  
Agata Caserta
Keyword(s):  
Uniform Convergence ◽  
Function Space ◽  
Strong Form ◽  
Strong Uniform Convergence ◽  
New Type

The notion of strong uniform convergence on bornologies introduced in 2009. by Beer-Levi turns to give the classical convergence introduced by Arzel? in 1883. Evert in 2003. introduced the notion of Arzel?-Whitney or simply AW-convergence for a net of functions. We define a new type of convergence, a "strong" form of Whitney convergence on bornologies, and we prove that on some families it coincides with that AW-convergence. Furthermore, we study the countability properties of this new function space.

scholarly journals Sheffer polynomials and approximation operators

2003 ◽  
Vol 34 (2) ◽  
pp. 117-128
Author(s):  
Emil C. Popa
Keyword(s):  
Uniform Convergence ◽  
Positive Operators ◽  
Convergence Criterion ◽  
Identity Operator ◽  
Linear Positive Operators ◽  
Approximation Operators ◽  
Sheffer Polynomials

In this paper we are studying the sequence of linear positive operators $(P_n^{(Q,S)})$ defined in (2). Using the Bohman-Korovkin uniform convergence criterion we are proving that the sequence $(P_n^{(Q,S)})$ converges uniformly to the identity operator. noindent In addition we give some estimates. Finally we consider two examples $(P_n^{(A,S)})$ and $(P_n^{(na,S)})$ defined in (25), (27).

scholarly journals Dyakonov–Voigt surface waves

2019 ◽  
Vol 475 (2228) ◽  
pp. 20190317 ◽  
Author(s):  
Tom G. Mackay ◽  
Chenzhang Zhou ◽  
Akhlesh Lakhtakia
Keyword(s):  
Surface Wave ◽  
Surface Waves ◽  
Exponential Function ◽  
Anisotropic Medium ◽  
Dielectric Medium ◽  
Planar Interface ◽  
Optic Axis ◽  
Interface Plane ◽  
New Type ◽  
Constitutive Parameters

Electromagnetic surface waves guided by the planar interface of an isotropic dielectric medium and a uniaxial dielectric medium, both non-dissipative, were considered, the optic axis of the uniaxial medium lying in the interface plane. Whereas this interface is known to support the propagation of Dyakonov surface waves when certain constraints are satisfied by the constitutive parameters of the two partnering mediums, we identified a different set of constraints that allow the propagation of surface waves of a new type. The fields of the new surface waves, named Dyakonov–Voigt (DV) surface waves, decay as the product of a linear and an exponential function of the distance from the interface in the anisotropic medium, whereas the fields of the Dyakonov surface waves decay only exponentially in the anisotropic medium. In contrast to Dyakonov surface waves, the wavenumber of a DV surface wave can be found analytically. Also, unlike Dyakonov surface waves, DV surface waves propagate only in one direction in each quadrant of the interface plane.

Experimental Investigation on Prestress during the Manufactural Process of Integrated Multilayer Wrapped Vessel

2013 ◽  
Vol 634-638 ◽  
pp. 1612-1617
Author(s):  
Hai Bin Yang ◽  
Xiao Qin Zhu ◽  
Nan Jing Li ◽  
Jun Hao Chen ◽  
Wei Huan Li ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
High Pressure ◽  
Exponential Function ◽  
Pressure Vessel ◽  
Experimental Results ◽  
High Pressure Vessel ◽  
Inside Diameter ◽  
New Type ◽  
Important Significance

Integrated multilayer wrapped vessel is a new type of multilayer high pressure vessel construction diffusely used in various process industrial productions. The prestress of the integrated multilayer wrapped vessel of inside diameter 500mm during its manufactural process was investigated. The experimental results showed that, the circumferential prestress distributions in the inner cylinder and the laminate during its manufactural process were approximately exponential function, thus in order to make the circumferential prestress contribution in the inner cylinder even as possible, the laminates should be staggered uniformly as the same circumferential angle during the manufactural process of the actual vessel, which is of an important significance to insure its manufactural quality and safe application.

scholarly journals On strong form of Arzela convergence

1997 ◽  
Vol 20 (3) ◽  
pp. 417-421 ◽  
Author(s):  
Janina Ewert
Keyword(s):  
Topological Space ◽  
Strong Convergence ◽  
Uniform Convergence ◽  
Strong Form ◽  
New Type

We define some new type of convergence of nets of functions which is formulated in terms of open covers. It preserves continuity and under some assumptions implies (or coincides with) the Arzela quasi-uniform convergence. Furthermore, the introduced strong convergence is used for characterization of compactness and regularity of a topological space.

The Microstructure of Shock-Synthesized Diamond

1967 ◽  
Vol 25 ◽  
pp. 324-325
Author(s):  
Lucien F. Trueb
Keyword(s):  
Single Crystals ◽  
Preferred Orientation ◽  
High Magnification ◽  
Texture Pattern ◽  
Shock Process ◽  
New Type ◽  
Diffraction Diagram

A new type of synthetic industrial diamond formed by an explosive shock process has been recently developed by the Du Pont Company. This material consists of a mixture of two basically different forms, as shown in Figure 1: relatively flat and compact aggregates of acicular crystallites, and single crystals in the form of irregular polyhedra with straight edges.Figure 2 is a high magnification micrograph typical for the fibrous aggregates; it shows that they are composed of bundles of crystallites 0.05-0.3 μ long and 0.02 μ. wide. The selected area diffraction diagram (insert in Figure 2) consists of a weak polycrystalline ring pattern and a strong texture pattern with arc reflections. The latter results from crystals having preferred orientation, which shows that in a given particle most fibrils have a similar orientation.

New type electron gun with electrostatic and electromagnetic lenses

1978 ◽  
Vol 36 (1) ◽  
pp. 62-63
Author(s):  
T. Ichinokawa ◽  
H. Maeda
Keyword(s):  
Electron Microscopy ◽  
Electron Beam ◽  
Optimum Condition ◽  
Bias Voltage ◽  
Electron Gun ◽  
Charge Effect ◽  
Micro Fabrication ◽  
Maximum Brightness ◽  
New Type ◽  
The Ideal

I. IntroductionThermionic electron gun with the Wehnelt grid is popularly used in the electron microscopy and electron beam micro-fabrication. It is well known that this gun could get the ideal brightness caluculated from the Lengumier and Richardson equations under the optimum condition. However, the design and ajustment to the optimum condition is not so easy. The gun has following properties with respect to the Wehnelt bias; (1) The maximum brightness is got only in the optimum bias. (2) In the larger bias than the optimum, the brightness decreases with increasing the bias voltage on account of the space charge effect. (3) In the smaller bias than the optimum, the brightness decreases with bias voltage on account of spreading of the cross over spot due to the aberrations of the electrostatic immersion lens.In the present experiment, a new type electron gun with the electrostatic and electromagnetic lens is designed, and its properties are examined experimentally.

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