A Study Of Fractional Hermite-Hadamard-Mercer Inequalities For Differentiable Functions
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work, we prove a parameterized fractional integral identity involving differentiable functions. Then, we use the newly established identity to establish some new parameterized fractional Hermite-Hadamard-Mercer-type inequalities for differentiable function. The main benefit of the newly established inequalities is that these inequalities can be converted into some new Mercer inequalities of midpoint type, trapezoidal type, and Simpson's type for differentiable functions. Finally, we show the validation of the results with the help of some mathematical examples and their graphs.
Açıklama
Anahtar Kelimeler
Midpoint Inequalities, Trapezoidal Inequalities, Simpson's Inequalities, Jensen-Mercer Inequality, Real Numbers, Mappings
Kaynak
Fractals-Complex Geometry Patterns And Scaling in Nature And Society
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
32
Sayı
2
