Honam Mathematical Journal (호남수학학술지)

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SEVERAL NEWTON-COTES TYPE INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES BELONG TO Lp SPACES WITH p ∈ [1, ∞]

  • Badreddine Meftah (Laboratory of Analysis and Control of Differential Equations "ACED", Facuty MISM, Department of Mathematics, 8 May 1945 University) ;
  • Chaima Menai (Department of Mathematics, 8 May 1945 University)
  • Received : 2024.05.25
  • Accepted : 2024.09.09
  • Published : 2024.12.20
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Abstract

In this study, we introduce a new bi-parameterized integral identity involving at most five points. Using this identity, we establish various integral inequalities for functions whose first derivatives belong to the spaces Lp with 1 ≤ p ≤ ∞. Several known results are recaptured. Applications are provided.

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References

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