Novel generalized tempered fractional integral inequalities for convexity property and applications
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Inequalities involving fractional operators have also been an active area of research. These inequalities play a crucial role in establishing bounds, estimates, and stability conditions for solutions to fractional integrals. In this paper, firstly we established two new identities for the case of differentiable convex functions using generalized tempered fractional integral operators. By utilizing these identities, some novel inequalities like Simpson-type, Bullen-type, and trapezoidal-type are proved for differentiable s-convex functions. Additionally, from the obtained results, several special cases of the known results for different choices of parameters are recaptured. Finally, some applications to q-digamma and modified Bessel functions are given.
Açıklama
Anahtar Kelimeler
Generalized tempered fractional integrals operators, s-convex function, inequalities, q-digamma function, modified Bessel function
Kaynak
Mathematica Slovaca
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
75
Sayı
1
