Evidence map›Paper›PMID 34209714›Full record

ArticleEntropy (Basel, Switzerland)2021

Some New Hermite-Hadamard and Related Inequalities for Convex Functions via (

Miguel Vivas-Cortez, Muhammad Aamir Ali, Hüseyin Budak, Humaira Kalsoom, Praveen Agarwal

Abstract read
In one paragraph

Article in Entropy (Basel, Switzerland), 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.

0numbers the graph read from it
0cells of the map it votes in
3citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

3 citing papers in PubMed.

  1. New Parameterized Inequalities forEntropy (Basel, Switzerland) · 2021
    Article
  2. Article
  3. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Miguel Vivas-CortezFaculty of Exact and Natural Sciences, School of Physical Sciences and Mathematics, University of Buenos Aires, Av. 12 de octubre 1076 y Roca, Apartado Postal 17-01-2184, Sede Quito, Ecuador.ORCID 0000-0002-1567-0264
Muhammad Aamir AliJiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China.ORCID 0000-0001-5341-4926
Hüseyin BudakDepartment of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Turkey.ORCID 0000-0001-8843-955X
Humaira KalsoomDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, China.ORCID 0000-0002-5835-3349
Praveen AgarwalDepartment of Mathematics, Anand International College of Engineering, Jaipur 303012, India.ORCID 0000-0001-7556-8942

Funding

National Natural Science Foundation of China 11971241
6 · The paper itself

Abstract

In this investigation, for convex functions, some new (p,q)-Hermite-Hadamard-type inequalities using the notions of (p,q)π2 derivative and (p,q)π2 integral are obtained. Furthermore, for (p,q)π2-differentiable convex functions, some new (p,q) estimates for midpoint and trapezoidal-type inequalities using the notions of (p,q)π2 integral are offered. It is also shown that the newly proved results for p=1 and q→1- can be converted into some existing results. Finally, we discuss how the special means can be used to address newly discovered inequalities.

Indexed as

post-quantum calculus(p,q) estimates for midpoint and trapezoidal type inequalitiesquantum calculus

Identifiers

PMID34209714
PMCPMC8305804

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.