New Extensions of the Parameterized Inequalities Based on Riemann-Liouville Fractional Integrals
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Dosyalar
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this article, we derive the above and below bounds for parameterized-type inequalities using the Riemann-Liouville fractional integral operators and limited second derivative mappings. These established inequalities generalized the midpoint-type, trapezoid-type, Simpson-type, and Bullen-type inequalities according to the specific choices of the parameter. Thus, a generalization of many inequalities and new results were obtained. Moreover, some examples of obtained inequalities are given for better understanding by the reader. Furthermore, the theoretical results are supported by graphs in order to illustrate the accuracy of each of the inequalities obtained according to the specific choices of the parameter.
Açıklama
Anahtar Kelimeler
Bounded Functions; Hermite-Hadamard Type Inequality; Trapezoid Inequalities; Midpoint-Type Inequalities; Simpson-Type Inequalities; Bullen-Type Inequalities, Hermite-Hadamard Inequalities; Differentiable Mappings; Simpsons Type; Real Numbers
Kaynak
Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
10
Sayı
18
