Results 41 to 50 of about 649 (117)

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

, 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
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On Fejér-type inequalities for generalized trigonometrically and hyperbolic k-convex functions

Demonstratio Mathematica
For μ∈C1(I)\mu \in {C}^{1}\left(I), μ>0\mu \gt 0, and λ∈C(I)\lambda \in C\left(I), where II is an open interval of R{\mathbb{R}}, we consider the set of functions f∈C2(I)f\in {C}^{2}\left(I) satisfying the second-order differential inequality ddtμdfdt+λf≥
Dragomir Silvestru Sever, Jleli Mohamed, Samet Bessem   +2 more
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Inequalities via s−convexity and log −convexity

Topological Algebra and its Applications, 2017
In this paper, we obtain some new inequalities for functions whose second derivatives’ absolute value is s−convex and log −convex. Also, we give some applications for numerical integration.
Akdemir Ahmet Ocak, Ardıç Merve Avcı, Özdemir M. Emin   +2 more
doaj   +1 more source

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

Open 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, Alp Necmettin, Budak Hüseyin, Chu Yu-Ming, Zhang Zhiyue   +4 more
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Ostrowski type inequalities for harmonically s-convex functions [PDF]

, 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  

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

Annales 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

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

Open 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., Kara Hasan, Budak Hüseyin, Ali Muhammad Aamir, Chasreechai Saowaluck   +4 more
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Steklov Type Operators and Functional Equations

Annales Mathematicae Silesianae
We consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.
Motronea Gabriela, Popa Dorian, Raşa Ioan   +2 more
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New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization

Demonstratio Mathematica, 2023
The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from the research point of view. Currently, mathematicians are working on extending, improving, and generalizing this inequality.
Saeed Tareq, Khan Muhammad Adil, Faisal Shah, Alsulami Hamed H., Alhodaly Mohammed Sh.   +4 more
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On a generalization of the Opial inequality

Demonstratio Mathematica
Inequalities are essential in pure and applied mathematics. In particular, Opial’s inequality and its generalizations have been playing an important role in the study of the existence and uniqueness of initial and boundary value problems.
Bosch Paul, Portilla Ana, Rodriguez Jose M., Sigarreta Jose M.   +3 more
doaj   +1 more source