Unified inequalities of the q-Trapezium-Jensen-Mercer type that incorporate majorization theory with applications
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The objective of this paper is to explore novel unified continuous and discrete versions of the Trapezium-Jensen-Mercer (TJM) inequality, incorporating the concept of convex mapping within the framework of q-calculus, and utilizing majorized tuples as a tool. To accomplish this goal, we establish two fundamental lemmas that utilize the & sigma;1q and & sigma;2 q differentiability of mappings, which are critical in obtaining new left and right side estimations of the midpoint q-TJM inequality in conjunction with convex mappings. Our findings are significant in a way that they unify and improve upon existing results. We provide evidence of the validity and comprehensibility of our outcomes by presenting various applications to means, numerical examples, and graphical illustrations.
Açıklama
Anahtar Kelimeler
convex, quantum, trapezium, Jensen -Mercer, di fferentiable, majorization, Rainas Function, Convex, Midpoint
Kaynak
Aims Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
8
Sayı
9
