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Article detail · 2011

New Inequalities of Hermite Hadamard Type for Convex Functions with Applications

Journal

Journal of Inequalities and Applications
YÖKSİS OpenAlex Open access · gold SJR Q2 JCR Q1 Citations 117 Top 10% Percentile 98.8% FWCI 9.26
Year
2011
DOI
10.1186/1029-242X-2011-86
Type
article

Data source split

  • YÖKSİS YÖKSİS article record
  • YÖKSİS venue Journal of Inequalities and Applications
  • OpenAlex OpenAlex enrichment (abstract, citations, topics)

OpenAlex record

Abstract

OpenAlex · English

In this paper, some new inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are given. Finally, some error estimates for the trapezoidal formula are obtained. 2000 Mathematics Subject Classiffication . 26A51, 26D10, 26D15.

Topics

Citations

OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.

117 citations

OpenAlex cited_by_count (cache / database)

39 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).

  1. New integral inequalities for differentiable convex functions via Atangana-Baleanu fractional integral operators 2021 Citations 89 · OpenAlex
  2. New Hadamard-type integral inequalities via a general form of fractional integral operators 2021 Citations 69 · OpenAlex
  3. On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals 2021 Citations 61 · OpenAlex
  4. On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals 2021 Citations 61 · OpenAlex
  5. Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions 2021 Citations 53 · OpenAlex
  6. SOME NEW INTEGRAL INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES OF ABSOLUTE VALUES ARE CONVEX AND CONCAVE 2019 Citations 13 · OpenAlex
  7. On New Generalizations of Hermite-Hadamard Type Inequalities via Atangana-Baleanu Fractional Integral Operators 2021 Citations 11 · OpenAlex
  8. Integral inequalities for differentiable s-convex functions in the second sense via Atangana-Baleanu fractional integral operators 2023 Citations 10 · OpenAlex
  9. On new general versions of Hermite-Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel 2021 Citations 8 · OpenAlex
  10. On new general versions of Hermite-Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel 2021 Citations 8 · OpenAlex

Authors

  1. KAVURMACI HAVVA
  2. AVCI MERVE
  3. ÖZDEMİR M EMİN
  4. HAVVA KAVURMACI ÖNALAN VAN YÜZÜNCÜ YIL ÜNİVERSİTESİ