Inequalities for strongly convex functions via Atangana-Baleanu integral operators

Ş Kızıl, MA Ardıç - Turkish Journal of Science, 2021 - dergipark.org.tr
Inequalities for strongly convex functions via Atangana-Baleanu Integral Operators Page 1
TURKISH JOURNAL OF SCIENCE VOLUME 6, ISSUE 2, 96–109 ISSN: 2587–0971 http:/dergipark.gov.tr/tjos …

Hermite–Hadamard type inequalities for multiplicatively harmonic convex functions

S Özcan, SI Butt - Journal of Inequalities and Applications, 2023 - Springer
In this work, the notion of a multiplicative harmonic convex function is examined, and
Hermite–Hadamard inequalities for this class of functions are established. Many inequalities …

New generalizations of Popoviciu-type inequalities via new Green's functions and Montgomery identity

N Mehmood, RP Agarwal, SI Butt, J Pečarić - Journal of inequalities and …, 2017 - Springer
The inequality of Popoviciu, which was improved by Vasić and Stanković (Math. Balk. 6: 281-
288, 1976), is generalized by using new identities involving new Green's functions. New …

Hermite-Hadamard type inequalities for exponential type multiplicatively convex functions

S Özcan - Filomat, 2023 - doiserbia.nb.rs
In this paper, we defined and studied the concept of exponential type multiplicatively convex
functions and some of their algebraic properties. We derived Hermite-Hadamard inequalities …

Integral inequalities for differentiable s-convex functions in the second sense via Atangana-Baleanu fractional integral operators

AM Avcı, AO Akdemir, HÖ Kavurmacı - Filomat, 2023 - doiserbia.nb.rs
Fractional integral operators, which form strong links between fractional analysis and
integral inequalities, make unique contributions to the field of inequality theory due to their …

Generalization of Popoviciu-type inequalities via Fink's identity

SI Butt, J Pečarić, A Vukelić - Mediterranean journal of mathematics, 2016 - Springer
We obtained useful identities via Fink's identity, by which the inequality of Popoviciu for
convex functions is generalized for higher order convex functions. We investigate the …

On new general versions of Hermite–Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel

H Kavurmacı Önalan, AO Akdemir, M Avcı Ardıç… - Journal of Inequalities …, 2021 - Springer
The main motivation of this study is to bring together the field of inequalities with fractional
integral operators, which are the focus of attention among fractional integral operators with …

[HTML][HTML] New generalizations of Popoviciu type inequalities via new Green functions and Fink's identity

SI Butt, N Mehmood, J Pečarić - Transactions of A. Razmadze Mathematical …, 2017 - Elsevier
We formulate new identities involving new Green functions. Inequality of Popoviciu, which
was improved by Vasić and Stanković (1976), is generalized by using newly introduced …

Generalized strongly n-polynomial convex functions and related inequalities

S Özcan, M Kadakal, İ İşcan, H Kadakal - Boundary Value Problems, 2024 - Springer
This paper focuses on introducing and examining the class of generalized strongly n-
polynomial convex functions. Relationships between these functions and other types of …

Some Hermite–Hadamard inequalities involving weighted integral operators via (h, s, m)-convex functions

P Kórus, JE Nápoles Valdés - TWMS Journal of Applied and …, 2023 - belgelik.isikun.edu.tr
In this work, we establish new integral inequalities of Hermite–Hadamard type, within the
framework of generalized integrals, which contain the Riemann–Liouville fractional integrals …