TY - JOUR
T1 - Some Parameterized Quantum Simpson's and Quantum Newton's Integral Inequalities via Quantum Differentiable Convex Mappings
AU - You, Xue Xiao
AU - Ali, Muhammad Aamir
AU - Budak, Hüseyin
AU - Vivas-Cortez, Miguel
AU - Qaisar, Shahid
N1 - Publisher Copyright:
© 2021 Xue Xiao You et al.
PY - 2021/12/26
Y1 - 2021/12/26
N2 - In this work, two generalized quantum integral identities are proved by using some parameters. By utilizing these equalities, we present several parameterized quantum inequalities for convex mappings. These quantum inequalities generalize many of the important inequalities that exist in the literature, such as quantum trapezoid inequalities, quantum Simpson's inequalities, and quantum Newton's inequalities. We also give some new midpoint-type inequalities as special cases. The results in this work naturally generalize the results for the Riemann integral.
AB - In this work, two generalized quantum integral identities are proved by using some parameters. By utilizing these equalities, we present several parameterized quantum inequalities for convex mappings. These quantum inequalities generalize many of the important inequalities that exist in the literature, such as quantum trapezoid inequalities, quantum Simpson's inequalities, and quantum Newton's inequalities. We also give some new midpoint-type inequalities as special cases. The results in this work naturally generalize the results for the Riemann integral.
UR - http://www.scopus.com/inward/record.url?scp=85122760494&partnerID=8YFLogxK
U2 - 10.1155/2021/5526726
DO - 10.1155/2021/5526726
M3 - Article
AN - SCOPUS:85122760494
SN - 1024-123X
VL - 2021
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
M1 - 5526726
ER -