Results 41 to 50 of about 887 (159)

On η-convexity

open access: yes, 2017
Some basic inequalities related to η -convex functions are proved. Also we investigate the famous Hermite-Hadamard, Fejer, Jensen and Slater type inequalities for this class of functions.
M. R. Delavar, S. Dragomir
semanticscholar   +1 more source

Increasing property and logarithmic convexity of functions involving Dirichlet lambda function

open access: yesDemonstratio Mathematica, 2023
In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
doaj   +1 more source

Some Completely Monotonic Properties for the (p, g)-Gamma Function [PDF]

open access: yes, 2012
MSC 2010: 33B15, 26A51 ...
Krasniqi, Valmir, Merovci, Faton
core  

Characterization of p‐Adic Mixed λ‐Central Bounded Mean Oscillation Space via Commutators of p‐Adic Hardy‐Type Operators

open access: yesJournal of Function Spaces, Volume 2024, Issue 1, 2024.
In this note, we define p‐adic mixed Lebesgue space and mixed λ‐central Morrey‐type spaces and characterize p‐adic mixed λ‐central bounded mean oscillation space via the boundedness of commutators of p‐adic Hardy‐type operators on p‐adic mixed Lebesgue space.
Naqash Sarfraz   +4 more
wiley   +1 more source

Montgomery identity and Ostrowski-type inequalities via quantum calculus

open access: yesOpen Mathematics, 2021
In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus.
Sitthiwirattham Thanin   +4 more
doaj   +1 more source

A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
We provide in this note a different refinement of Jensen’s inequality obtained via superquadratic functions. A refinement of Minkowski’s and Hölder’s inequalities is also established as an application of our refined Jensen’s inequality.
Anton Asare-Tuah   +2 more
wiley   +1 more source

A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference

open access: yes, 2016
We demonstrate that some recent results regarding the connection between the convexity of the map t → f (t) and the sign of Δa f (t) , with 2 < ν < 3 , can be improved.
C. Goodrich
semanticscholar   +1 more source

Generalized fractional Hermite-Hadamard inequalities

open access: yesMiskolc Mathematical Notes, 2020
In this paper, we derive some Hermite-Hadamard type inequalities via s-convex functions of first and second sense respectively. These inequalities involve k-Riemann-Liouville fractional integrals. We also discuss some special cases.
M. Noor, K. Noor, M. U. Awan
semanticscholar   +1 more source

On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions

open access: yesOpen Mathematics, 2021
The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this paper are unification and generalization of the comparable consequences in the literature on midpoint ...
Ali Muhammad Aamir   +4 more
doaj   +1 more source

New generalized Hermite-Hadamard type inequalities and applications to special means

open access: yes, 2013
In this paper, Hermite-Hadamard type inequalities involving Hadamard fractional integrals for the functions satisfying monotonicity, convexity and s-e-condition are studied. Three classes of left-type Hadamard fractional integral identities including the
Jinrong Wang, Chun Zhu, Yong Zhou
semanticscholar   +1 more source

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