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
Yazarlar
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