Results 51 to 60 of about 679 (119)

New Upper Bounds in the Second Kershaw's Double Inequality and its Generalizations [PDF]

open access: yes, 2007
In the paper, new upper bounds in the second Kershaw’s double inequality and its generalizations involving the gamma, psi and polygamma functions are established, some known results are ...
Guo, Senlin, Qi, Feng
core  

Some properties of extended remainder of Binet's first formula for logarithm of gamma function

open access: yes, 2010
In the paper, we extend Binet's first formula for the logarithm of the gamma function and investigate some properties, including inequalities, star-shaped and sub-additive properties and the complete monotonicity, of the extended remainder of Binet's ...
Guo, Bai-Ni, Qi, Feng
core   +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

Generalisations of Integral Inequalities of Hermite-Hadamard type through Convexity

open access: yes, 2012
In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose derivatives are $s$-$(\alpha,m)$-convex.The generalised integral inequalities ...
Bhatti, Muhammad Iqbal   +2 more
core   +1 more source

Steklov Type Operators and Functional Equations

open access: yesAnnales Mathematicae Silesianae
We consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.
Motronea Gabriela   +2 more
doaj   +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

Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means

open access: yesAnnales Mathematicae Silesianae, 2023
In this paper, we present the Sugeno integral of Hermite–Hadamard inequality for the case of quasi-arithmetically convex (q-ac) functions which acts as a generator for all quasi-arithmetic means in the frame work of Sugeno integral.
Nadhomi Timothy
doaj   +1 more source

Ostrowski type inequalities for harmonically s-convex functions [PDF]

open access: yes, 2013
The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.Comment: 11 ...
Iscan, Imdat
core  

Generalized fractional Hermite-Hadamard type inclusions for co-ordinated convex interval-valued functions

open access: yesOpen Mathematics, 2022
In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by ...
Vivas-Cortez Miguel J.   +4 more
doaj   +1 more source

Derivation of Hermite-Hadamard-Jensen-Mercer conticrete inequalities for Atangana-Baleanu fractional integrals by means of majorization

open access: yesDemonstratio Mathematica
This article is mainly concerned to link the Hermite-Hadamard and the Jensen-Mercer inequalities by using majorization theory and fractional calculus. We derive the Hermite-Hadamard-Jensen-Mercer-type inequalities in conticrete form, which serve as both ...
Wu Shanhe   +4 more
doaj   +1 more source

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