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HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WITH A BOUNDED SECOND DERIVATIVE

HUAN-NAN SHI
장전수학회 (Jangjeon Mathematical Society)|2016.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제19권 제1호|pp. 135-144|DOI 10.17777/pjms.2016.19.1.014

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키워드

Hermite-Hadamard type inequalitymajorizationsecond derivative
주제분류수학

초록

By applying results from the theory of majorization, some new inequalities of Hermite-Hadamard type for functions with a bounded second derivative are established.

Abstract

By applying results from the theory of majorization, some new inequalities of Hermite-Hadamard type for functions with a bounded second derivative are established.

참고문헌 (10)

  1. P. Cerone, "Midpoint-type rules from an inequality point of view, in Hand-book of analytic-computational methods in applied mathematics", CRC Press
  2. P. Cerone, "Hand-book of analytic-computational methods in applied mathematics" (2000), CRC Press
  3. N. Ujevic, "Some double integral inequalities and applications", Acta Math. Univ. Comenian. (N.S.), 71, pp.189~199 (2002)
  4. A. M. Marshall, "Inequalities:theory of majorization and its application" (1979), Academies Press
  5. B.-Y. Wang, "Foundations of Majorization Inequalities (Kong zhi bu deng shi ji chu)" (1990), Beijing Normal Univ. Press
  6. H.-N. Shi, "Schur-Convexity and Schur-Geometrically Concav-ity of Gini Mean", Comput. Math. Appl., 57, pp.266~274 (2009)
  7. Yu-ming Chu, "Schur convexity and Hadmards inequality", Math. Ineq. & Appl, 13(4), pp.725~731 (2010)
  8. V Culjak, "Schur-convexity of averages of convex functions", J. Inequal. Appl, 2011, pp.25~[DOI]
  9. Iva Franjic, "Schur-convexity and the Simpson formula", Applied Mathematics Letters, 24, pp.1565~1568 (2011)
  10. X.-L. Cheng, "A note on the perturbed trapezoid inequality", Journal of Inequalities in Pure and Applied Mathematics, 3(2), pp.1~7 (2002)

관련 논문AI추천

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