Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Refinements of the weighted generalized trapezoid inequality in terms of cumulative variation and applications

Refinements of the weighted generalized trapezoid inequality in terms of cumulative variation and... AbstractIn this paper, we first establish some refinements of the weighted generalized trapezoid inequality for functions of bounded variation in terms of a cumulative variation function, and then obtain some perturbed versions of the weighted generalized trapezoid inequality. Several applications for selfadjoint operators on complex Hilbert spaces are also given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Refinements of the weighted generalized trapezoid inequality in terms of cumulative variation and applications

Liu, Wenjun; Zhang, Heng
Georgian Mathematical Journal , Volume 25 (1): 18 – Mar 1, 2018
Download PDF
18 pages

Loading next page...
 
/lp/de-gruyter/refinements-of-the-weighted-generalized-trapezoid-inequality-in-terms-5IY9f5gRdA

References

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1572-9176
eISSN
1572-9176
DOI
10.1515/gmj-2016-0070
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this paper, we first establish some refinements of the weighted generalized trapezoid inequality for functions of bounded variation in terms of a cumulative variation function, and then obtain some perturbed versions of the weighted generalized trapezoid inequality. Several applications for selfadjoint operators on complex Hilbert spaces are also given.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Mar 1, 2018

References

  • Generalizations of weighted trapezoidal inequality for mappings of bounded variation and their applications
  • On the trapezoid quadrature formula and applications
  • A perturbed trapezoid inequality in terms of the fourth derivative
  • Some perturbed Ostrowski type inequalities for functions of bounded variation
  • The Ostrowski integral inequality for mappings of bounded variation
  • A modified general modulus-based matrix splitting method for linear complementarity problems of H-matrices
  • Some inequalities for continuous functions of selfadjoint operators in Hilbert spaces
  • Generalizations of the trapezoid inequalities based on a new mean value theorem for the remainder in Taylor’s formula
  • Some integral inequalities of Simpson type for GA-ε-convex functions
  • Trapezoidal-type rules from an inequalities point of view
  • On trapezoid inequality via a Grüss type result and applications
  • Generalizations of a weighted trapezoidal inequality for monotonic functions and applications
  • A perturbed trapezoid inequality in terms of the third derivative and applications
  • Approximating the finite Hilbert transform via a companion of Ostrowski’s inequality for function of bounded variation and applications
  • Some inequalities of perturbed trapezoid type
  • A generalized trapezoid inequality for functions of bounded variation
  • On new Ostrowski type inequalities for double integrals on time scales
  • A refinement of the difference between two integral means in terms of the cumulative variation and applications
  • Another generalization of weighted Ostrowski type inequality for mappings of bounded variation
  • On the generalization of some integral inequalities and their applications
  • Some inequalities of midpoint and trapezoid type for the Riemann–Stieltjes integral
  • Refinements of the generalized trapezoid inequality in terms of the cumulative variation and applications
  • New sharp Ostrowski-type inequalities and generalized trapezoid-type inequalities for Riemann–Stieltjes integrals and their applications
  • Perturbed version of a general trapezoid inequality