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3 hasil untuk "Umut Bas"

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  1. Artikel Jurnal

    Generalized multiplicative h-fractional integrals and derivatives with Hermite-Hadamard inequality

    Umut Bas; Huseyin Yildirim

    Journal of Inequalities and Applications, Vol. 2026 No. 1 · 2026 · Inggris · DOAJ Scopus

    Abstract In this study, we introduce new generalized multiplicative h-fractional integral and h-fractional derivative operators by employing multiplicative calculus within the framework of fractional analysis. Purely multiplicative operational arithmetic is utilized in deriving these results. The…

  2. Artikel Jurnal

    New extensions version of Hermite–Hadamard type inequalities by means of conformable fractional integrals

    Umut Bas; Hüseyin Budak; Hasan Kara

    Miskolc Mathematical Notes, Vol. 25 No. 2 · 2024 · Inggris · DOAJ Scopus

    In the current investigation, we acquire the upper and lower bounds for inequalities of midpoint-type and trapezoid-type involving conformable fractional integral operators with the help of the mappings whose second derivatives are bounded. We support the established inequalities with examples…

  3. Artikel Jurnal

    Advancements in corrected Euler–Maclaurin-type inequalities via conformable fractional integrals

    Yaren Acar; Hüseyin Budak; Umut Bas dkk.

    Boundary Value Problems, Vol. 2025 No. 1 · 2025 · Inggris · DOAJ Scopus

    Abstract In this research article, equality is proved to obtain corrected Euler–Maclaurin-type inequalities. Using this identity, we establish several corrected Euler–Maclaurin-type inequalities for the case of differentiable convex functions by means of conformable fractional integrals. Moreover…