New parameterized inequalities for twice differentiable functions
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Dosyalar
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The present paper first establishes that an identity involving generalized fractional integrals is proved for twice differentiable functions by using a parameter. By using this equality, we obtain some parameterized inequalities for the functions whose second derivatives in absolute value are convex. Finally, we show that our main results reduce to trapezoid, midpoint Simpson and Bullen-type inequalities which are proved in earlier published papers.
Açıklama
Anahtar Kelimeler
Trapezoid Inequalities; Midpoint Inequalities; Simpson Type Inequalities; Bullen-Type Inequalities; Generalized Fractional Integrals; Twice Differentiable Functions, Integral-Inequalities; Hermite-Hadamard; Real Numbers; Mappings
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
37
Sayı
12
