L p approximation by Bernstein-Kantorovich quasi-interpolants

Liu, Lixia; Shi, Lei; Guo, Shuangjian

doi:10.1007/s11766-009-1795-y

Cited by 7 publications

(8 citation statements)

References 6 publications

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“…15 In addition, a new band in the spectrum of 7b, 7c and 7d appeared at 996, 1008 and 1000 cm -1 , respectively, which is characteristic of metalloporphyrins. 15 In addition, a new band in the spectrum of 7b, 7c and 7d appeared at 996, 1008 and 1000 cm -1 , respectively, which is characteristic of metalloporphyrins.…”

Section: Infrared Spectramentioning

confidence: 95%

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Synthesis and properties of 5,10,15,20-tetra[4-(3,5-dioctoxybenzamidephenyl] porphyrin and its metal complexes

et al. 2012

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A novel 5,10,15,20-tetra[4-(3,5-dioctoxybenzamide)phenyl]porphyrin and its transition metal complexes are reported in this paper. Their molecular structures were characterized by elemental analysis, IR spectra, 1HNMR spectra and UV-Vis spectra. Their spectroscopic properties were studied by Raman spectra, fluorescence spectra and X-ray photoelectron spectra (XPS). The fluorescence quantum yields have been measured at room temperature. The fluorescence intensity of porphyrin ligand was stronger than that of the complexes. In Raman spectra, there was much difference between porphyrin ligand and its metal complexes due to changes of the symmetry of porphyrin plane. In the XPS spectra, the replacement of the free-base protons by a metal ion to form the metalloporphyrin increases the symmetry of the molecule also introduces an electron with-drawing group into the center of the porphyrin ligand which increases the N1s binding energy

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Section: Infrared Spectramentioning

confidence: 95%

“…27 5,10,15,porphyrin (TAPPH 2 ) was prepared using SnCl 2 /HCl according to the method of Kruper. 5,10,15,20-Tetra-(4-nitrophenyl)porphyrin was synthesized through the reaction between pyrrole and p-nitrobenzaldehyde in the presence of lactic acid according to a published procedure.…”

Section: General Synthesis Proceduresmentioning

confidence: 99%

Synthesis and properties of 5,10,15,20-tetra[4-(3,5-dioctoxybenzamidephenyl] porphyrin and its metal complexes

et al. 2012

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“…That is to say, the same part of the profile curve of each rotor is designed, then the other part of the profile curve is generated by the same part of the profile curve and finally the same profile curve of each rotor can be obtained exactly [1][2][3]. Both the manufacturing method of the profile modeling and NC machining can be used for rotor profile machining [4][5].…”

Section: Introductionmentioning

confidence: 99%

A New Design Method for the Rotor Profile Curve of the Cam Pump

Liu

Wei

et al. 2012

AMR

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The cam pumps are especially suitable for the transmission of the liquids with different impurities or pure solid materials. A new design method for the rotor profile curve of the cam pump was put forward to improve the wear-proof of the addendum of the rotors. A rotor with a simple profile curve was designed and then the profile curve of another rotor would be generated by a tool whose cutting profile curve was the same as the designed rotor profile curve. This method was stated and a mathematic model was built based on gear meshing theory by choosing an ellipse as the designed rotor profile curve. The influence of the design parameters on the generated rotor profile curve, the area utilization coefficient of the pump and the relative normal curvature of the two profile curves at the contact points were analyzed. The results demonstrated as: the designed profile curve can be some kind of simple continuous curve and the generated profile curve is continuous curve as well; the area utilization coefficient, C, increases by increasing the major semi-axis of the ellipse, a, or decreasing the minor semi-axis, b, if the designed profile surface is an elliptic one; the maximum of the area utilization coefficient, Cmax, will decrease when the blade number of the rotor 2, z2, increases because of the undercutting; the maximum of the area utilization coefficient is 0.48 when z2 is 2; the blade number of the rotor 2 is no more than 4.

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“…As a surfactant, CTAB could form micelle microstructure in aqueous solution. Here, the concentration of CTAB was adjusted to 100×10 -4 mol•l -1 , which is near to critical micelle concentration (CMC) [17]. The CMC helps to generate micro water cavity which can act as micro reactor so as to mould the shape of SiO 2 .…”

mentioning

confidence: 99%

Controllable Preparation of Multi-Morphology Nanosized Silica by Hydrolysis of Mixed Chlorosilanes in Mixed Solvent of Alcohol and Water

Zhang

et al. 2010

AMR

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The nanosized silica with different morphologies such as sphere, granule, needle, short rod, hollow tubule, has been in turn synthesized by using cetyltrimethylammonium bromide (CTAB) as template and mixed chlorosilane (silicon tetrachloride and trichlorosilane) as silicon source in aliphatic alcohol aqueous solution. The as-prepared products were characterized by x-ray diffraction (XRD), transmission electron microscope (TEM), and Fourier transform infrared spectroscopy (FT-IR), and BET nitrogen adsorption technique was employed for determination of specific surface area of the powdery silica. The formation conditions and mechanism of the nanosized silica with special and diverse shapes are preliminarily discussed.

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L p approximation by Bernstein-Kantorovich quasi-interpolants

Abstract: Bernstein-Kantorovich quasi-interpolants K (2r−1) n (f, x) are considered and direct, inverse and equivalence theorems with Ditzian-Totik modulus of smoothness ω 2r ϕ (f, t)p (1 ≤ p ≤ +∞) are obtained.

Cited by 7 publications

References 6 publications

Synthesis and properties of 5,10,15,20-tetra[4-(3,5-dioctoxybenzamidephenyl] porphyrin and its metal complexes

Synthesis and properties of 5,10,15,20-tetra[4-(3,5-dioctoxybenzamidephenyl] porphyrin and its metal complexes

A New Design Method for the Rotor Profile Curve of the Cam Pump

Controllable Preparation of Multi-Morphology Nanosized Silica by Hydrolysis of Mixed Chlorosilanes in Mixed Solvent of Alcohol and Water

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