Results 51 to 60 of about 231 (171)
Refined Weighted Schweitzer‐Type Inequalities With Applications to Statistical Moments
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we establish a weighted version of the classical Schweitzer integral inequality for positive bounded functions. We first derive a sharp upper bound for the product of two weighted integrals involving a function and its reciprocal. We then obtain a refined form of the inequality containing an explicit nonnegative remainder term, which ...
Rubayyi T. Alqahtani +2 more
wiley +1 more source
Ostrowski Type Inequalities over Spherical Shells [PDF]
, 2008 2000 Mathematics Subject Classification: 26D10, 26D15.Here are presented Ostrowski type inequalities over spherical shells. These regard sharp or close to sharp estimates to the difference of the average of a multivariate function from its value at a ...
Anastassiou, George A.
core
Journal of Inequalities and Applications, 2011 In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales.
Zhang Yaoming +4 more
doaj
Analysis of Cauchy problem with fractal-fractional differential operators
Demonstratio Mathematica, 2023 Cauchy problems with fractal-fractional differential operators with a power law, exponential decay, and the generalized Mittag-Leffler kernels are considered in this work.
Alharthi Nadiyah Hussain +2 more
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Inequalities for Products of Two Kinds of Convexities and Consequent Results
Journal of Mathematics, Volume 2026, Issue 1, 2026.The product of two convex functions is convex under certain conditions, which have motivated extensions to generalized convexities. In the present paper, we establish new Hermite–Hadamard–type inequalities for the product of m‐convex and (α, m)‐convex functions.
Abdur Rehman +4 more
wiley +1 more source
Ostrowski type inequalities for functions whose derivatives are strongly (α, m)-convex via k-Riemann-Liouville fractional integrals [PDF]
, 2019 In this paper, we provide some Ostrowski type integral inequalities for functions whose derivatives in absolute value at some powers are strongly (α, m)- convex with modulus µ ≥ 0 via the k-Riemann-Liouville fractional integrals.
KERMAUSUOR, Seth
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Differential Methods for HU Stability of Backward Shift Operators via Weight Sequences
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a new concept of jth weighted backward shift operators on weighted Hardy spaces Hμ2. We introduce the operator Ωγj and characterize its boundedness in certain sequences associated with the weights. After that, we establish HU stability of the jth weighted backward shift operator Υenj and provide conditions under which stability ...
Zohreh Kefayati +4 more
wiley +1 more source
Open MathematicsIn this study, we discuss new Hardy-type inequalities for operators involving iteration and provide explicit characterizations of these inequalities. As an application of our results, we consider the problem of the boundedness of the multidimensional ...
Kalybay Aigerim
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New Bounds on Hermite–Hadamard–Mercer‐Type Inequalities: Applications and Computational Analysis
Journal of Mathematics, Volume 2026, Issue 1, 2026.In mathematical analysis, the theory of inequalities plays a fundamental role due to its wide‐ranging applications in various fields of the physical sciences. In this paper, we develop new Hermite–Hadamard–Mercer‐type inequalities involving a broad class of fractional integral operators, including both classical and Caputo–Fabrizio fractional integrals.
Muhammad Muawwaz +5 more
wiley +1 more source
Integral estimates for a class Bn of operators [PDF]
, 2018 Let Pn be the class of polynomials of degree at most n. Rahman introduced a class Bn of operators B that map Pn into itself. In this paper, we establish certain integral estimates concerning B-operator, and thereby obtain generalizations as well as ...
WALI, Shah Lubna, LIMAN, Abdul
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