Generalized fractional midpoint type inequalities for co-ordinated convex functions
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Dosyalar
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Nis
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this research paper, we investigate generalized fractional integrals to obtain midpoint type inequalities for the co-ordinated convex functions. First of all, we establish an identity for twice partially differentiable mappings. By utilizing this equality, some midpoint type inequalities via generalized fractional integrals are proved. We also show that the main results reduce some midpoint inequalities given in earlier works for Riemann integrals and Riemann-Liouville fractional integrals. Finally, some new inequalities for k-Riemann-Liouville fractional integrals are presented as special cases of our results. © 2023, University of Nis. All rights reserved.
Açıklama
Anahtar Kelimeler
Convex function, Fractional integrals, Simpson type inequalities, Third derivative
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
37
Sayı
13
