Some New Hermite-Hadamard and Related Inequalities for Convex Functions via (p,q)-Integral
Yükleniyor...
Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this investigation, for convex functions, some new (p,q)-Hermite-Hadamard-type inequalities using the notions of (p,q)(pi 2) derivative and (p,q)(pi 2) integral are obtained. Furthermore, for (p,q)(pi 2)-differentiable convex functions, some new (p,q) estimates for midpoint and trapezoidal-type inequalities using the notions of (p,q)(pi 2) integral are offered. It is also shown that the newly proved results for p=1 and q -> 1(-) can be converted into some existing results. Finally, we discuss how the special means can be used to address newly discovered inequalities.
Açıklama
Anahtar Kelimeler
quantum calculus, post-quantum calculus, (p, q) estimates for midpoint and trapezoidal type inequalities, Midpoint Type Inequalities, Differentiable Mappings, Real Numbers, Quantum
Kaynak
Entropy
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
23
Sayı
7
