New versions of the Hermite–Hadamard inequality for $(\phi -h)$-integrals

In this paper, we prove some new versions of the Hermite–Hadamard inequality for $({\phi}-h)$ -integrals. For this aim, we use the tangent and secant lines at the same special points. Moreover, we investigate the relations between the newly obtained results and earlier published papers. We also present some new results by special choices of ϕ and h.

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Publication Details

Journal
Boundary Value Problems
Published
2024-11-21
DOI
https://doi.org/10.1186/s13661-024-01970-z
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
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article

New versions of the Hermite–Hadamard inequality for $(\phi -h)$-integrals

Mujahid Abbas, Waqas Nazeer, Hüseyin Budak, Saira Bano Akbar
Boundary Value Problems
Mathematical Inequalities and Applications
article

New versions of the Hermite–Hadamard inequality for $(\phi -h)$-integrals

Mujahid Abbas, Waqas Nazeer, Hüseyin Budak, Saira Bano Akbar
article en

Abstract

In this paper, we prove some new versions of the Hermite–Hadamard inequality for $({\phi}-h)$ -integrals. For this aim, we use the tangent and secant lines at the same special points. Moreover, we investigate the relations between the newly obtained results and earlier published papers. We also present some new results by special choices of ϕ and h.

Boundary Value ProblemsVol. 2024(1)
University of Johannesburg (ZA), Government College University, Lahore (PK), Düzce Üniversitesi (TR)
Reduced inequalities
Openalex Percentile: Top 65%
Mathematical Inequalities and Applications
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