Ostrowski type inequalities for 3-convex functions

The main aim of this paper is to derive new Ostrowski type inequalities for 3-convex functions and for functions whose modulus of derivatives are convex, using the weighted Montgomery identity and the weighted Hermite-Hadamard inequalities. Additionally, certain Hermite-Hadamard inequalities for 3-convex functions are provided.

Publication Details

Journal
1000 Functional Connectomes Project
Published
2025-03-24
DOI
https://doi.org/10.25430/pupj-drna-2025-1-4
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Ostrowski type inequalities for 3-convex functions

1000 Functional Connectomes Project
Mathematical Inequalities and Applications
article

Ostrowski type inequalities for 3-convex functions

article en

Abstract

The main aim of this paper is to derive new Ostrowski type inequalities for 3-convex functions and for functions whose modulus of derivatives are convex, using the weighted Montgomery identity and the weighted Hermite-Hadamard inequalities. Additionally, certain Hermite-Hadamard inequalities for 3-convex functions are provided.

1000 Functional Connectomes Project
Reduced inequalities
Openalex Percentile: Top 41%
Mathematical Inequalities and Applications
DOIOpen Access PDFOpenAlex
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.

Ostrowski type inequalities for 3-convex functions · 1000 Functional Connectomes Project (2025) | TGRS Research Map | TGRS