TY - JOUR
T1 - Simpson's Integral Inequalities for Twice Differentiable Convex Functions
AU - Vivas-Cortez, Miguel
AU - Abdeljawad, Thabet
AU - Mohammed, Pshtiwan Othman
AU - Rangel-Oliveros, Yenny
N1 - Publisher Copyright:
© 2020 Miguel Vivas-Cortez et al.
PY - 2020/6/27
Y1 - 2020/6/27
N2 - Integral inequality is an interesting mathematical model due to its wide and significant applications in mathematical analysis and fractional calculus. In the present research article, we obtain new inequalities of Simpson's integral type based on the ϕ-convex and ϕ-quasiconvex functions in the second derivative sense. In the last sections, some applications on special functions are provided and shown via two figures to demonstrate the explanation of the readers.
AB - Integral inequality is an interesting mathematical model due to its wide and significant applications in mathematical analysis and fractional calculus. In the present research article, we obtain new inequalities of Simpson's integral type based on the ϕ-convex and ϕ-quasiconvex functions in the second derivative sense. In the last sections, some applications on special functions are provided and shown via two figures to demonstrate the explanation of the readers.
UR - http://www.scopus.com/inward/record.url?scp=85087982980&partnerID=8YFLogxK
U2 - 10.1155/2020/1936461
DO - 10.1155/2020/1936461
M3 - Article
AN - SCOPUS:85087982980
SN - 1024-123X
VL - 2020
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
M1 - 1936461
ER -