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Dergiler / Konuralp Journal of Mathematics / 2026 / Volume: 14 Issue: 1

Conformable Fractional Estimates for Weighted Corrected Euler-Maclaurin-Type Inequalities Involving Convex Functions

İzzettin Demir(DUZCE UNIVERSITY)0000-0003-0298-2872
Esra Üneş(DUZCE UNIVERSITY)0009-0005-8670-6075
Tuğba Çakal(DUZCE UNIVERSITY)
Sayfa
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Yayın Tarihi
2026-04-30
DOI
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Our results broaden the scope of existing literature and underline the effectiveness of conformable fractional operators compared to traditional methods in specific scenarios.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This study is devoted to deriving weighted corrected Euler-Maclaurin-type inequalities by utilizing conformable fractional integrals.
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Temel Bulgular & Veri:Also, we develop numerical examples and graphical analyses to illustrate our theoretical findings.
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Sonuç & Katkı:Our results broaden the scope of existing literature and underline the effectiveness of conformable fractional operators compared to traditional methods in specific scenarios.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Conformable fractional integrals · corrected-Euler-Maclaurin-type inequalities · convex functions

Abstract

This study is devoted to deriving weighted corrected Euler-Maclaurin-type inequalities by utilizing conformable fractional integrals. We begin by proving a key integral identity involving a positive weight function, which acts as the analytical foundation for our main results. Building on this identity in the context of conformable fractional calculus, we establish generalized corrected Euler-Maclaurin-type inequalities valid for differentiable convex functions. Also, we develop numerical examples and graphical analyses to illustrate our theoretical findings. Our results broaden the scope of existing literature and underline the effectiveness of conformable fractional operators compared to traditional methods in specific scenarios.

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Bu Makaleye Atıf Yap

Demir, İ., Üneş, E., Çakal, T. (2026). Conformable Fractional Estimates for Weighted Corrected Euler-Maclaurin-Type Inequalities Involving Convex Functions. Konuralp Journal of Mathematics, Volume: 14 Issue: 1. https://ajindex.com/articles/1521448

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