A Fractional Version of Corrected Dual-Simpson's Type Inequality via s-convex Function with Applications
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Putra Malaysia Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Convexity plays a crucial role in mathematical analysis, offering profound insights into the behavior of functions and geometric shapes. Fractional integral operators generalize the classical concept of integration to non-integer orders. In this paper, we establish a new identity by using the Caputo-Fabrizio fractional integral operator. Then by using this new identity, we obtain the corrected dual Simpson's type inequalities for s-convex functions. By employing the wellknown integral inequalities such as the H & ouml;lder's inequality and power-mean inequality, we obtain new error estimates. Furthermore, we discuss the applications to some special means and quadrature formula.
Açıklama
Anahtar Kelimeler
corrected dual-Simpson's type inequality, s- convex function, fractional integrals, H & ouml;lder's inequality, power-mean inequality.
Kaynak
Malaysian Journal of Mathematical Sciences
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
19
Sayı
1
