호남수학학술지 (Honam Mathematical Journal)

  • 제46권4호
  • /
  • Pages.657-676
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  • 2024
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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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)
  • 투고 : 2024.05.25
  • 심사 : 2024.09.09
  • 발행 : 2024.12.20
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초록

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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참고문헌

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