On quantum Hermite-Jensen-mercer inequalities
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Miskolc Inst Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A. M. Mercer prove a new version of well-known Jensen inequality which is called Jensen-Mercer inequality [16]. By using Jensen-Mercer inequality, Kian and Moslehian establish a new variant of Hermite-Hadamard inequality which is called Hermite-Jensen-Mercer inequality [15]. In this paper, we extend the Hermite-Jensen-Mercer inequality for quantum integrals by utilizing Jensen-Mercer inequality. Then we investigate the connections between our results and those in earlier works. Moreover we give some examples to illustrate the main results in this paper. This is the first paper focusing on Hermite-Jensen-Mercer inequalities for quantum integrals.
Açıklama
Anahtar Kelimeler
Quantum integrals, Jensen-Mercer inequalities, Hermite-Hadamard inequalities
Kaynak
Miskolc Mathematical Notes
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
24
Sayı
3
