New Quantum Mercer Estimates of Simpson-Newton-like Inequalities via Convexity
Yükleniyor...
Dosyalar
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Recently, developments and extensions of quadrature inequalities in quantum calculus have been extensively studied. As a result, several quantum extensions of Simpson's and Newton's estimates are examined in order to explore different directions in quantum studies. The main motivation of this article is the development of variants of Simpson-Newton-like inequalities by employing Mercer's convexity in the context of quantum calculus. The results also give new quantum bounds for Simpson-Newton-like inequalities through Holder's inequality and the power mean inequality by employing the Mercer scheme. The validity of our main results is justified by providing examples with graphical representations thereof. The obtained results recapture the discoveries of numerous authors in quantum and classical calculus. Hence, the results of these inequalities lead us to the development of new perspectives and extensions of prior results.
Açıklama
Anahtar Kelimeler
Simpson's Inequality; Jesnen-Mercer Inequality; Convex Functions; Quantum Calculus
Kaynak
Symmetry-Basel
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
14
Sayı
9
