Novel Ostrowski type inequalities via exponentially (m1, m2)−convex functions and their applications

In this work, we introduce and explore the new concept of convexity class, namely exponential (m1, m2)−convex functions along with some examples. In extension, we perform an artistic analysis of the properties of this class. We give the formulation of the new quadrature type identity. Based on this identity, we obtain some integral inequalities for the introduced convex functions via fractional operators tool. In addition, specific means of different positive real numbers and some new limits for the q−digamma function are also presented.

Authors

Institutions

Publication Details

Journal
Annals of the University of Craiova Mathematics and Computer Science Series
Published
2024-12-25
DOI
https://doi.org/10.52846/ami.v51i2.1888
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

Novel Ostrowski type inequalities via exponentially (m1, m2)−convex functions and their applications

Jamshed Nasir, Saad Ihsan Butt, Bahtiyar Bayraktar
Annals of the University of Craiova Mathematics and Computer Science Series
Mathematical Inequalities and Applications
article

Novel Ostrowski type inequalities via exponentially (m1, m2)−convex functions and their applications

Jamshed Nasir, Saad Ihsan Butt, Bahtiyar Bayraktar
article en

Abstract

In this work, we introduce and explore the new concept of convexity class, namely exponential (m1, m2)−convex functions along with some examples. In extension, we perform an artistic analysis of the properties of this class. We give the formulation of the new quadrature type identity. Based on this identity, we obtain some integral inequalities for the introduced convex functions via fractional operators tool. In addition, specific means of different positive real numbers and some new limits for the q−digamma function are also presented.

Annals of the University of Craiova Mathematics and Computer Science SeriesVol. 51(2)
Bursa Uludağ Üni̇versi̇tesi̇ (TR), COMSATS University Islamabad (PK), Virtual University of Pakistan (PK)
Openalex Percentile: Top 57%
Mathematical Inequalities and Applications
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.