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

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, some corrected Euler–Maclaurin-type inequalities are given for bounded functions by fractional integrals. Additionally, fractional corrected Euler–Maclaurin-type inequalities are constructed for Lipschitzian functions. Finally, corrected Euler–Maclaurin-type inequalities are considered by fractional integrals of bounded variation.

Authors

Institutions

Publication Details

Journal
Boundary Value Problems
Published
2025-01-09
DOI
https://doi.org/10.1186/s13661-024-01990-9
Citations
1
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
3.73
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

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

Umut Baş, Hüseyin Yıldırım, Hüseyin Budak, Fatih Hezenci et al.
1 citations
Boundary Value Problems
Mathematical Inequalities and Applications
3.73
article

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

Umut Baş, Hüseyin Yıldırım, Hüseyin Budak, Fatih Hezenci, Yaren Acar
article en
1 citations

Abstract

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, some corrected Euler–Maclaurin-type inequalities are given for bounded functions by fractional integrals. Additionally, fractional corrected Euler–Maclaurin-type inequalities are constructed for Lipschitzian functions. Finally, corrected Euler–Maclaurin-type inequalities are considered by fractional integrals of bounded variation.

Boundary Value ProblemsVol. 2025(1)
Kahramanmaraş Sütçü İmam University (TR), Düzce Üniversitesi (TR)
Openalex Percentile: Top 14%
Mathematical Inequalities and Applications
3.73
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.