(p, q)-Hermite-Hadamard inequalities and (p, q)-estimates for midpoint type inequalities via convex and quasi-convex functions
Yükleniyor...
Dosyalar
Tarih
2018
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer-Verlag Italia Srl
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we prove the correct (p, q)-Hermite-Hadamard inequality, some new (p, q)-Hermite-Hadamard inequalities, and generalized (p, q)-Hermite-Hadamard inequality. By using the left hand part of the correct (p, q)-Hermite-Hadamard inequality, we have a new equality. Finally using the new equality, we give some (p, q)-midpoint type integral inequalities through (p, q)-differentiable convex and (p, q)-differentiable quasi-convex functions. Many results given in this paper provide extensions of others given in previous works.
Açıklama
Kunt, Mehmet/0000-0002-8730-5370; iscan, imdat/0000-0001-6749-0591
WOS: 000445335600005
WOS: 000445335600005
Anahtar Kelimeler
Hermite-Hadamard inequality, Midpoint type inequality, q-integral inequalities, (p, q)-integral inequalities, (p, q)-derivative, (p, q)-integration, Convexity, Quasi-convexity
Kaynak
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
112
Sayı
4
