On Some New Maclaurin's Type Inequalities for Convex Functions in q-Calculus
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This work establishes some new inequalities to find error bounds for Maclaurin's formulas in the framework of q-calculus. For this, we first prove an integral identity involving q-integral and q-derivative. Then, we use this new identity to prove some q-integral inequalities for q-differentiable convex functions. The inequalities proved here are very important in the literature because, with their help, we can find error bounds for Maclaurin's formula in both q and classical calculus.
Açıklama
Anahtar Kelimeler
Maclaurin's inequalities, Hermite-Hadamard inequalities, convex functions, q-calculus, Integral-Inequalities, Midpoint
Kaynak
Fractal And Fractional
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
7
Sayı
8
