On generalized Ostrowski, Simpson and Trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals
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Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we prove an identity for twice partially differentiable mappings involving the double generalized fractional integral and some parameters. By using this established identity, we offer some generalized inequalities for differentiable co-ordinated convex functions with a rectangle in the plane R2. Furthermore, by special choice of parameters in our main results, we obtain several well-known inequalities such as the Ostrowski inequality, trapezoidal inequality, and the Simpson inequality for Riemann and Riemann-Liouville fractional integrals.
Açıklama
Anahtar Kelimeler
Simpson inequality, Ostrowski inequality, Co-ordinated convex function, Generalized fractional integrals, 26D07, 26D10, 26D15, 26B15, 26B25, Hadamard-Type Inequalities, Differentiable Mappings, Real Numbers
Kaynak
Advances In Difference Equations
WoS Q DeÄŸeri
Q1
Scopus Q DeÄŸeri
Cilt
2021
Sayı
1
