Rates of Ideal Convergence for Approximation Operators

In this paper, we study a general Korovkin-type approximation theory by using the notion of ideal convergence which includes many convergence methods, such as, the usual convergence, statistical convergence, A-statistical convergence, etc. We mainly compute the rate of ideal convergence of sequences of positive linear operators.     

Structure and conductivity characterization of new type ionic conductor stabilized bismuth oxide ternary systems

In this study, the new type electrolyte (Yb₂O₃)_x(Dy₂O₃)_y(Bi₂O₃)_1-x-y ternary compounds were synthesized with different stoichiometric ratios by the solid-state reaction method at different annealing treatment and also their microstructural and electrical properties were analysed. X-ray powder diffraction results showed that the high temperature δ-phase of pure monoclinic Bi₂O₃ has been synthesized by doping of Yb₂O₃. Grain size and grain form of pellet formed samples was compared from their surface images taken by the scanning electron microscopy. The grain size has been varying between ～17–37 µm, and degrading with the increasing dopant concentrations. The relationships between the structural parameters (e.g. lattice parameters, crystallite size and the lattice microstrain) and structural properties (e.g. ionic radii of dopant cations and heat treatment procedure) were particularly discussed. Total conductivity values were calculated by Nyquistic complex impedance plot. Impedance measurement revelaed that total conductivity values of the samples increase with the increasing Yb dopant ratio. The activation energies calculated by the Arrhenius approach are measured at around 1?eV. In addition, activation energies and pre-exponential terms decrease with the increasing Yb cation dopant rate for the same ambient temperature.     

Some classes of special functions using Fourier transforms of some two-Variable orthogonal polynomials

ABSTRACT

In this paper some new classes of two-variable orthogonal functions by using Fourier transforms of two-variable orthogonal polynomials are introduced. Orthogonality relations are obtained by using the Parseval identity. Recurrence relations for new families of orthogonal functions are also presented.     

Photo and Thermo‐luminescence Properties of Mn4+, Ce4+ and Sm3+ in MgAl2Si2O8 Phosphor

Mn⁴⁺, Ce⁴⁺ and Sm³⁺ doped MgAl₂Si₂O₈‐based phosphors were synthesized at 1300 °C by solid state reaction and characterized by thermogravimetry (TG), differential thermal analysis (DTA), X‐ray powder diffraction (XRD), photoluminescence (PL), thermoluminescence (TL) and scanning electron microscopy (SEM). The phosphors showed broad red emission bands in the range of 610–715 nm and different maximum intensity when activated by UV illumination. Such a red emission can be attributed to the intrinsic ²E→⁴A₂ transitions of Mn⁴⁺.     

Synthesis and characterization of novel substituted and cyclic benzoquinone derivatives

Novel substituted benzoquinone compounds were synthesized from the reactions of p-chloranil and p-fluoranil with some thiols, amines, and diols in different reaction media. Interesting cyclic compounds like crown ether structures were obtained. The structures of all compounds were characterized by spectroscopic methods and microanalysis.     

Convenient one-pot formation of highly functionalized 5-bromo-2-aminothiazoles,potential endocannabinoid hydrolase MAGL inhibitors

Highly functionalized 5-bromo-2-amino-1,3-thiazoles bearing various substituents could be easily prepared by a rapid and efficient one-pot method, using simple starting materials and mild conditions while avoiding the use of metal catalysts or inconvenient reagents such as elemental halogens. These useful products can serve as starting materials for other reactions or as pharmacologically interesting compounds. In our work we have shown that the resulting 5-bromothiazole compounds could lead to monoacylglycerol lipase (MAGL) inhibition in the μM range.     

Determination of Trace Amounts of Copper in Tap Water Samples with a Calix[4]arene Modified Carbon Paste Electrode by Differential Pulse Anodic Stripping Voltammetry

A calix[4]arene modified carbon paste electrode was used for trace determination of copper. The study of the preconcentration of copper as well as the other heavy metal ions at the modified electrode, with subsequent measurement by differential pulse anodic stripping voltammetry (DPASV), indicates the efficient open‐circuit accumulation of the analytes onto the electrode. Many parameters such as the composition of the paste, pH, preconcentration time and stirring rate influence the response of the measurement. The procedure was optimized for copper determination. For a 10‐minute preconcentration time at pH 6.5–7.5, the detection limit (LOD) was 1.1 μg L^?1. The optimized method was successfully applied to the determination of copper in tap water sample by means of standard addition procedure. The copper content of the sample was comparable with the result obtained with AAS method.     

Preparation of homogeneous polyacrylamide hydrogels by free-radical crosslinking copolymerization

Network microstructures of acrylamide (AAm)-based hydrogels were investigated by static and dynamic light scattering techniques. The hydrogels were prepared by free-radical crosslinking copolymerization of the monomers acrylamide (AAm), N,N-dimethylacrylamide (DMA) and N-isopropylacrylamide (NIPA) with N,N′-methylenebis(acrylamide) as a crosslinker in aqueous solutions. It was observed that the addition of DMA or NIPA into the comonomer feed suppresses the extent of frozen concentration fluctuations in polyacrylamide (PAAm) hydrogels. The cooperative diffusion coefficient increases while both the static and dynamic correlation lengths decrease as the amount of DMA in the comonomer feed is increased. Formation of homogeneous PAAm hydrogels by introduction of hydrophobic moieties was explained as a result of the steric effect of the bulky side groups on DMA or NIPA segments.     

A catalytic asymmetric protocol for the enantioselective synthesis of 3(2H)-furanones

3(2H)-Furanones can be prepared by a catalytic asymmetric protocol from enynones, which, if electron-rich, require only one reagent and involve two reactions in a single operation--a domino process.     

Maintaining monodispersity in a microbubble population formed by flow-focusing

The dynamic processes impacting the size distributions of lipid-encapsulated microbubbles formed by flow-focusing were observed by video optical microscopy. Parameters studied included the filling gas, gas saturating the surrounding solution, and microbubble size (initial size 2-12 microm) to simulate typical laboratory conditions. Typically, dissolution or growth, followed by Ostwald ripening at a collection cover glass, were observed and quantified. However, in the case of small nitrogen-filled microbubbles surrounded by an air-saturated solution, Ostwald ripening was avoided for at least 9 h. These bubbles had a final size distribution of 1.5 +/- 0.1 microm. This work suggests that lipid-encapsulated microbubbles formed by flow-focusing should be given sufficient time to reach a terminal size before coming into contact with each other. These long-lived mondisperse microbubbles should be of interest in ultrasound contrast agents, microfabrication, food, and research applications.