New quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex functions View Full Text


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Article Info

DATE

2021-01-21

AUTHORS

Muhammad Aamir Ali, Mujahid Abbas, Hüseyin Budak, Praveen Agarwal, Ghulam Murtaza, Yu-Ming Chu

ABSTRACT

In this research, we derive two generalized integral identities involving the qϰ2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$q^{\varkappa _{2}}$\end{document}-quantum integrals and quantum numbers, the results are then used to establish some new quantum boundaries for quantum Simpson’s and quantum Newton’s inequalities for q-differentiable preinvex functions. Moreover, we obtain some new and known Simpson’s and Newton’s type inequalities by considering the limit q→1−\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$q\rightarrow 1^{-}$\end{document} in the key results of this paper. More... »

PAGES

64

References to SciGraph publications

  • 2018-09-27. Different types of quantum integral inequalities via (α,m)-convexity in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2020-02-14. On q-Hermite–Hadamard inequalities for general convex functions in ACTA MATHEMATICA HUNGARICA
  • 2012. A Comprehensive Treatment of q-Calculus in NONE
  • 2021-01-07. Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables in ADVANCES IN CONTINUOUS AND DISCRETE MODELS
  • 2013-11-07. Quantum calculus on finite intervals and applications to impulsive difference equations in ADVANCES IN CONTINUOUS AND DISCRETE MODELS
  • 2019-10-07. New parameterized quantum integral inequalities via η-quasiconvexity in ADVANCES IN CONTINUOUS AND DISCRETE MODELS
  • 2020-01-06. Dynamics analysis of a delayed virus model with two different transmission methods and treatments in ADVANCES IN CONTINUOUS AND DISCRETE MODELS
  • 2020-07-29. Some New Quantum Hermite–Hadamard-Like Inequalities for Coordinated Convex Functions in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
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    http://scigraph.springernature.com/pub.10.1186/s13662-021-03226-x

    DOI

    http://dx.doi.org/10.1186/s13662-021-03226-x

    DIMENSIONS

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