Calculation of retention indices of essential oils with the aid of the Van den Dool and Kratz equation and Bezier curves

Küçük Resim Yok

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Wiley

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

The aim of this article is to study the relationships and models among the Van den Dool and Kratz equation, the gas chromatography (GC), and the Bezier curves constructed by aid of the Bernstein polynomials. Another aim of this article is to introduce open problems that contribute to real-world problems involving mathematics, chemistry, and plant biology, including the Van den Dool and Kratz equation, the GC, and Bezier curves. Searching for the solutions of these problems may have qualities that will create the potential that can enter the field of study of many researchers. As a result of these goals, the usability of Bezier curves was investigated while determining the chemical composition of essential oil obtained from Potentilla aladaghensis Leblebici, by applying the retention index from the Van den Dool and Kratz equation and evaluating chemical compositions of the essential oil are characterized by GC-mass spectrometry (GC-MS). The Van den Dool and Kratz equation results have the potential to be used not only in the chemical compositions of the oils but also in applied mathematics and other fields. Moreover, we construct a new special finite sum. A lower bound and inequality are also given for the finite special sum involving the dead time associated with the isocratic step. Some applications and criticisms are given that include this lower bound and inequality for these sums and its effects on the chemical compositions of essential oil and the Van den Dool and Kratz equation.

Açıklama

Anahtar Kelimeler

Bernstein polynomials, Bezier curves, essential oils, finite sum, retention indices, Van den Dool and Kratz equation

Kaynak

Mathematical Methods in the Applied Sciences

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

47

Sayı

5

Künye