In this paper, by the use of the weight coefficients, the transfer formula and the technique of real analysis, an extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given. Moreover, the equivalent forms, the operator expressions and a few examples are considered.

by the method of weight coefficients, techniques of real analysis andhermite-hadamard's inequality, a half-discrete hardy-hilbert-type inequalityrelated to the kernel of the hyperbolic cosecant function with the best possibleconstant factor expressed in terms of the extended riemann-zeta function is proved.the more accurate equivalent forms, the operator expressions with the norm,the reverses a...

Real-time Monte Carlo denoising aims at removing severe noise under low samples per pixel (spp) in a strict time budget. Recently, kernel-prediction methods use neural network to predict each pixel's filtering kernel and have shown great potential remove noise. However, the heavy computation overhead blocks these from real-time applications. This paper expands method proposes novel approach den...

In this study, pulp and kernel of fruits from six Arecaceae species were subjected to proximate analysis, fatty acid composition and total carotenoid content analysis. The species with the highest carbohydrate, lipid and protein values were Ptychosperma macarthurii(70.1 g/100 g in the kernel), Syagrus cearensis(40.6 g/100 g in the kernel), andS. coronata(20.6 g/100 g in the pulp). The ash conte...

The article presents the results of studying influence quantitative traits on barley plant performance. Thirty typical plants were selected for each 28 genotypes spring two-row cultivars and their height, productive tillering capacity, spike length, number weight kernels from main spike, 1000-kernel weight, performance measured. As a result, we found significant positive correlations between ca...

The genetic diversity among 56 almond (Prunus dulcis) genotypes was analysed using 35 microsatellite markers and 14 morphological traits. Analysis of morphological traits revealed a wide range of variation among the studied genotypes. Out of 35 simple sequence repeats (SSRs) markers, 25 were polymorphic, producing 215 alleles that varied from 2 to 16 with an average of 8.76 alleles per locus. R...

In this paper we studied the double scaling limit of a random unitary matrix ensemble near a singular point where a new cut is emerging from the support of the equilibrium measure. We obtained the asymptotic of the correlation kernel by using the Riemann-Hilbert approach. We have shown that the kernel near the critical point is given by the correlation kernel of a random unitary matrix ensemble...

The objective of this experiment was to test the hypothesis that the reduced carcass fat quality that is often observed in pigs fed diets containing distillers dried grains with solubles (DDGS) may be ameliorated if corn germ, beef tallow, palm kernel oil, or glycerol is added to diets fed during the finishing period. A total of 36 barrows and 36 gilts (initial BW 43.7 ± 2.0 kg) were individual...