Weighted Ostrowski, Trapezoid and Grüss type inequalities on time scales

Abstract. In this paper we first derive a weighted Montgomery identity on time scales and then establish weighted Ostrowski, trapezoid and Grüss type inequalities on time scales, respectively. These results not only provide a generalization of the known results, but also give some other interesting inequalities on time scales as special cases

A Preliminary Study on The Chemical Structure of Vicia saliva L. Accessions Collected From Natural Flora of European Part of Turkey

The objective of this study was to determine chemical composition of 24 common vetch (Vicia sativa L.) accessions, collected from natural flora in European part of Turkey. The field experiment was carried out in the 2015-2016 growing season at field experimental area of Tekirdag Namik Kemal University, Agricultural Faculty, Field Crops Department in Tekirdag/Turkey. In this study, chemical structure (nitrogen (N), phosphorus (P), potassium (K), calcium (Ca), magnesium (Mg), copper (Cu). zinc (Zn). iron (Fe), and manganese(Mn) content) of common vetch accessions were determined on hay. Chemical composition content was statistically significantly different (P <= 0.01) between accessions. According to the results obtained from field experiments, N, P, K, Ca, Mg, Cu, Zn, Fe, and Mn content of common vetch accessions varied between 0.95-3.14 %, 0.84-3.65 %, 0.22-2.44 %, 0.89-2.85 %, 0.23-0.74 %, 0.15-7.80 ppm, 0.10-5.30 ppm, 43.00-2295.20 ppm, 3.08-17.50 ppm, respectively. A wide variation was observed among common vetch accessions used in the study for N, P, K, Ca, Mg, Cu, Zn, Fe, and Mn content. Tetany and Ca/P rates of accessions changed from 0.13 - 1.54 and 0.28 - 2.19, respectively. The tetany and Ca/P rates of common vetch accessions are within suitable values for animal feeding. Ca/P ratio is above the limit value only in accessions 15-2 and 14O04. According to the correlation analysis, N was positively and significantly correlated with P, K, Mg, Cu and Fe. Similarly, P was positively and significantly correlated with N, K and Fe. Magnesium was positively and significantly correlated with N, Ca, Cu, Fe and Mn. Iron was positively and significantly correlated with N, P, Ca, Mg and Cu. As a result, accession 15K17 and 33 were identified as common vetch accessions with high mineral nutrition content.Scientific and Technological Research Council of Turkey (TUBITAK) [TOVAG-1130297]; Tekirdag Namik Kemal University Scientific Research Projects Coordinatorship [NKUBAP.00.24.AR.14.10]This study was supported by The Scientific and Technological Research Council of Turkey (TUBITAK) Grant (TOVAG-1130297) and Tekirdag Namik Kemal University Scientific Research Projects Coordinatorship (NKUBAP.00.24.AR.14.10)

Exact Solutions of n+1 -Dimensional Space-Time Fractional Zakharov-Kuznetsov Equation

In this article, we study the n+1 -dimensional space time fractional Zakharov-Kuznetsov equation for calculating the exact solutions. For this purpose fractional derivative is used in the form of modified Riemann-Liouville derivatives. Complex fractional transformation is applied for transforming the nonlinear partial differential equation into another nonlinear ordinary differential equation. Exact solutions are obtained by using modified simple equation method and 1⁄G' -expansion method. Obtained solutions are new and may be of significant importance in the field of plasma physics to investigate the waves in the magnetized plasma and in the dust plasma

Telomerecat: A ploidy-agnostic method for estimating telomere length from whole genome sequencing data.

Telomere length is a risk factor in disease and the dynamics of telomere length are crucial to our understanding of cell replication and vitality. The proliferation of whole genome sequencing represents an unprecedented opportunity to glean new insights into telomere biology on a previously unimaginable scale. To this end, a number of approaches for estimating telomere length from whole-genome sequencing data have been proposed. Here we present Telomerecat, a novel approach to the estimation of telomere length. Previous methods have been dependent on the number of telomeres present in a cell being known, which may be problematic when analysing aneuploid cancer data and non-human samples. Telomerecat is designed to be agnostic to the number of telomeres present, making it suited for the purpose of estimating telomere length in cancer studies. Telomerecat also accounts for interstitial telomeric reads and presents a novel approach to dealing with sequencing errors. We show that Telomerecat performs well at telomere length estimation when compared to leading experimental and computational methods. Furthermore, we show that it detects expected patterns in longitudinal data, repeated measurements, and cross-species comparisons. We also apply the method to a cancer cell data, uncovering an interesting relationship with the underlying telomerase genotype

Publisher Correction: Telomerecat: A ploidy-agnostic method for estimating telomere length from whole genome sequencing data.

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A new generalization of Ostrowski type inequalities on arbitrary time scale

In this paper, a new generalization of Ostrowski type inequalities for twice differentiable mappings on time scales and some other interesting inequalities as special cases are given.Publisher's Versio

On integral inequalities on time scales---withdrawn

Upon the author's request we have withdrawn this article