Results 71 to 80 of about 357 (173)

Generalizations of Steffensen’s inequality via the extension of Montgomery identity

Open Mathematics, 2018
In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić, Pečarić Josip, Pribanić Anamarija Perušić   +2 more
doaj   +1 more source

Some integral inequalities for operator monotonic functions on Hilbert spaces

Special Matrices, 2020
Let f be an operator monotonic function on I and A, B∈I (H), the class of all selfadjoint operators with spectra in I. Assume that p : [0.1], →ℝ is non-decreasing on [0, 1].
Dragomir Silvestru Sever
doaj   +1 more source

Multivariate Caputo left fractional Landau inequalities

Moroccan Journal of Pure and Applied Analysis, 2020
Relied on author’s first ever found multivariate Caputo fractional Taylor’s formula (2009, [1], Chapter 13), we develop and prove several multivariate left side Caputo fractional uniform Landau type inequalities.
Anastassiou George A.
doaj   +1 more source

Weighted Ostrowski-Grüss type inequalities [PDF]

, 2015
Several inequalities of Ostrowski-Grüss-type available in the literature are generalized considering the weighted case of them. Involving the least concave majorant of the modulus of continuity we provide upper bounds of our inequalities.
GONSKA, Heiner, ACU, Ana Maria
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On a discrete version of Fejér inequality for α-convex sequences without symmetry condition

Demonstratio Mathematica
In this study, we introduce the notion of α\alpha -convex sequences which is a generalization of the convexity concept. For this class of sequences, we establish a discrete version of Fejér inequality without imposing any symmetry condition. In our proof,
Jleli Mohamed, Samet Bessem
doaj   +1 more source

Some new Hermite-Hadamard type inequalities for product of strongly h-convex functions on ellipsoids and balls

Open Mathematics
We establish novel Hermite-Hadamard-type inequalities for the product of two strongly hh-convex functions defined on balls and ellipsoids in multidimensional Euclidean spaces.
Song Jinwen, Li Bufan, Ruan Jianmiao
doaj   +1 more source

Some Mean-Value Theorems of the Cauchy Type [PDF]

, 2006
2000 Mathematics Subject Classification: Primary 26A24, 26D15; Secondary 41A05Some mean-value theorems of the Cauchy type, which are connected with Jensen’s inequality, are given in [2] in discrete form and in [5] in integral form.
Pecaric, Josip, Srivastava, H. M., Rodic Lipanovic, Mirna   +2 more
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New and Original Integral Inequalities under Monotonicity and Convexity Assumptions

Annales Mathematicae Silesianae
This article examines integral inequalities dealing with functions of the form “a function raised to the power of another function” under varying monotonicity and convexity assumptions. First, we assess the validity of a referenced theorem on the subject.
Chesneau Christophe
doaj   +1 more source

Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]

Results Phys, 2023
Chu YM, Rashid S, Akdemir AO, Khalid A, Baleanu D, Al-Sinan BR, Elzibar OAI.   +6 more
europepmc   +1 more source

Quantitative uniform approximation by generalized discrete singular operators [PDF]

, 2015
Here we study the approximation properties with rates of generalized discrete versions of Picard, Gauss-Weierstrass, and Poisson-Cauchy singular op- erators. We treat both the unitary and non-unitary cases of the operators above.
KESTER, Merve, ANASTASSIOU, George A.
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