Parametric generalization of Baskakov operators

Herein we propose a non-negative real parametric generalization of the Baskakov operators and call them as $alpha$-Baskakov operators. We show that $alpha$-Baskakov operators can be expressed in terms of divided differences. Then, we obtain $n$th order derivative of $alpha$-Baskakov operators in order to obtain its new representation as powers of independent variable $x$. In addition, we obtain Korovkin’s type approximation properties of $alpha$-Baskakov operators. Moreover, by using the modulus of continuity, we obtain the rate of convergence. Numerical results presented show that depending on the value of the parameter $alpha$, an approximation to a function improves compared to the classical Baskakov operators

Approximation properties of two dimensional Bernstein-Stancu-Chlodowsky operators

In this paper, as a generalization of Bernstein-Stancu type operators of two variable, we introduce a new positive linear operator called Bernstein-Stancu-Chlodowsky on a triangular domain, with mobile boundaries, which extends to [0, ∞) × [0, ∞) as n → ∞. We give some shape properties that are preserved and also obtain weighted approximation properties of these operators

The Effects of Different Carotenoid Sources on Skin Pigmentation of Goldfish (Carassius auratus)

The aim of this study was to investigate the effect of different carotenoid sources on goldfish (Carassius auratus) skin pigmentation. The value of goldfish depends on the intensity of the skin color. In the red variety of goldfish, an orange-red hue is desirable. Juvenile goldfish were fed one of five diets for five months to determine the effects of carotenoids on skin pigmentation, growth, feed efficiency, and survival: (1) astaxanthin (carophyll pink at 75 mg/kg), (2) canthaxanthin (carophyll red at 75 mg/kg), (3) Gammarus spp. (75 mg/kg), (4) Oleoresin paprika (180 mg/kg), and (5) an unsupplemented control. Growth and feed efficiency did not significantly differ among groups. Initial and final samples of head skin were measured by colorimetric analysis for lightness (L*), redness (a*), yellowness (b*), hue (Hºab), and chroma (Cab*). The best red color (a* and Hºab) was obtained with the astaxanthin, canthaxanthin, and paprika diets

Intermediate Product Profile as a Result of Ozone Oxidation of Industrial Wastewater

The following were found when testing the wastewater in the study: 0.38% 7-Hydroxy-7-phenly-3,9-diisopropyl-2,10-dioxadispiri, 1.71% 2-Propanone (CAS) Acetone, 20.87% 2-propanol, 2-methyl- (CAS) tert-Butyl alcohol, 14.92% 2-Butanone (CAS) Methyl ethyl ketone, 62.11% Hydroperoxide, 1,1-dimethyl (CAS) Cadox TBH, COD (10,000-23,725 mg COD / l), total kjeldahl nitrogen (<6.2 mg / l), free chlorine (<0.05 mg / l) and chloride (> 9,042 mg / l). The water was then oxidated using ozone (4.1 g / h) and intermediate product formation and COD removal efficiency were studied. The current wastewater characteristics vary in line with product supply and demand.In this study, a cylinder reactor with an internal diameter of 5.8 cm and a height of 1.7 meters was used for ozonation (4.1 g/saat). After seven hours of ozonation, the wastewater pH value fell below four, showing that complex compounds were broken down to organic acids. At the end of the first, third, fourth, fifth and sixth hours of the ozonation process, respectively, nitrogen oxide (H), N, 2-Dimethydodecylamine (K), Propanoic acid, 2-hydroxy-2-methyl (hydroxybutyric) (L), 2-Butanone, 3-hydroxy-3-methyl (M), 2,3 Butanedione (diacetyl) (N), Ammonium bicarbonate (O) ), Carbamicacid, monoammonium salt (Ammonium Carbamat) (P), Acetic acid, ethoxy-, 1-methylethyl ester (R) intermediates were formed. After seven hours of ozonation, the influent COD decreased from 17,000 mg / l to 2,860 mg / l. As a result of the ozone process, the organic substances were mostly transformed into 2-propanone (Acetone) (B) and 2-propanol, 2-methyl (tert-butyl alcohol) (C). Keywords: Ozonation, COD, Industrial wastewater, Intermediate product DOI: 10.7176/CER/11-10-03 Publication date: November 30th 201

Remark on weighted approximation properties of generalized Picard operators

Bascanbaz-Tunca, Gulen/0000-0003-3216-1661WOS: 000338514500032In this article, we still hold the study of the generalized Picard operators P-lambda,P-beta (f; q) depending on nonisotropic beta-distance given in [3]. By continuing to deal with the nonisotropic weighted L-p,L-beta (R-n) space defined in [17], we introduce a new weighted L-p,L-beta modulus of continuity depending on the nonisotropic distance to obtain the weighted rate of convergence. We show that weighted convergence rate of P-lambda,P-beta (f; q) to f can be made better not only depending on the chosen q but also the choice of beta. We get that P-lambda,P-beta (f; q) satisfy the global smoothness preservation property via weighted L-p,L-beta modulus of continuity. Also we give direct approximation property of the generalized Picard operators P-lambda,P-beta (f; q) with respect to nonisotropic weighted norm