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

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dc.authoridBATTALOGLU, Rifat/0000-0002-8479-5837
dc.contributor.authorBattaloglu, Rifat
dc.date.accessioned2024-11-07T13:24:28Z
dc.date.available2024-11-07T13:24:28Z
dc.date.issued2024
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractThe 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.
dc.identifier.doi10.1002/mma.7784
dc.identifier.endpage3229
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85116349783
dc.identifier.scopusqualityQ1
dc.identifier.startpage3219
dc.identifier.urihttps://doi.org/10.1002/mma.7784
dc.identifier.urihttps://hdl.handle.net/11480/14132
dc.identifier.volume47
dc.identifier.wosWOS:000703390000001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofMathematical Methods in the Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241106
dc.subjectBernstein polynomials
dc.subjectBezier curves
dc.subjectessential oils
dc.subjectfinite sum
dc.subjectretention indices
dc.subjectVan den Dool and Kratz equation
dc.titleCalculation of retention indices of essential oils with the aid of the Van den Dool and Kratz equation and Bezier curves
dc.typeArticle

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