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\begin{document}

\title{Some parameterized quantum Simpson's and quantum Newton's integral
inequalities via quantum differentiable convex mappings}



\author[1]{Xuexiao You}%
\author[2]{Muhammad Aamir Ali}%
\author[3]{Hüseyin BUDAK}%
\author[4]{Dafang Zhao}%
\affil[1]{Hubei Normal University, Huangshi 435002, China.}%
\affil[2]{Nanjing Normal University School of Mathematical Sciences}%
\affil[3]{Düzce University}%
\affil[4]{Hubei Normal University, Huangshi, China}%


\vspace{-1em}



  
  \date{May 27, 2024}


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\begin{abstract}
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.%
\end{abstract}%



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