Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables View Full Text


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Article Info

DATE

2021-01-07

AUTHORS

Muhammad Aamir Ali, Yu-Ming Chu, Hüseyin Budak, Abdullah Akkurt, Hüseyin Yıldırım, Manzoor Ahmed Zahid

ABSTRACT

In this investigation, we demonstrate the quantum version of Montgomery identity for the functions of two variables. Then we use the result to derive some new Ostrowski-type inequalities for the functions of two variables via quantum integrals. We also consider the particular cases of the key results and offer some new integral inequalities. More... »

PAGES

25

References to SciGraph publications

  • 2020-03-02. Quantum Hermite–Hadamard inequality by means of a Green function in ADVANCES IN CONTINUOUS AND DISCRETE MODELS
  • 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
  • 2017-05-15. p,q-Hermite–Hadamard inequalities and p,q-estimates for midpoint type inequalities via convex and quasi-convex functions in REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES. SERIE A. MATEMÁTICAS
  • 2012-02-15. On some new inequalities for differentiable co-ordinated convex functions in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 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
  • 2014-03-26. Quantum integral inequalities on finite intervals in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2020-07-29. Some New Quantum Hermite–Hadamard-Like Inequalities for Coordinated Convex Functions in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 1937-12. Über die Absolutabweichung einer differentiierbaren Funktion von ihrem Integralmittelwert in COMMENTARII MATHEMATICI HELVETICI
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    URI

    http://scigraph.springernature.com/pub.10.1186/s13662-020-03195-7

    DOI

    http://dx.doi.org/10.1186/s13662-020-03195-7

    DIMENSIONS

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