Some New Improvements of Hermite-Hadamard Type Inequalities Using Strongly (s, m)-Convex Function with Applications
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Maragheh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The trapezoidal-type inequalities are discovered in this study using the fractional operator, which produces powerful results. We established a general identity for Caputo-Fabrizio integral operators and the second derivative function. Using this identity new error bounds and estimates for strongly (s, m)-convex functions are obtained. Moreover, some novel trapezoidal-type inequalities are offered taking this identity into account using the known inequalities like Young, Jensen, Holder and power-mean inequalities. Finally, we present some applications for matrix inequality, estimation error regarding trapezoidal formulas and special means for real numbers.
Açıklama
Anahtar Kelimeler
Trapezoidal-type inequality, Strongly (s, m)-convex function, Young's inequality, Jensen inequality
Kaynak
Sahand Communications in Mathematical Analysis
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
22
Sayı
2
