Results 21 to 30 of about 305,872 (123)
Some Inequalities for Functions of Bounded Variation with Applications to Landau Type Results [PDF]
, 2006 Some inequalities for functions of bounded variation that provide reverses for the inequality between the integral mean and the p−norm for p Є [1,∞] are established.
Dragomir, Sever S, S.S. Dragomir
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12313-12323, 30 July 2026.ABSTRACT In this paper, we investigate several Riemann–Liouville fractional integral inequalities for higher‐order differentiable functions using a simple and novel approach. First, we present an inequality involving fractional integrals that generalizes the right‐hand side of the fundamental Hermite–Hadamard inequality to higher‐order derivatives ...
Samet Erden, Hüseyin Budak
wiley +1 more source
Bounds on Extended f-Divergences for a Variety of Classes [PDF]
, 2003 The concept of f-divergences was introduced by Csiszár in 1963 as measures of the ’hardness’ of a testing problem depending on a convex real valued function f on the interval [0,∞).
Cerone, Pietro +2 more
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Variable‐Order Postquantum Fractional Integral Inequalities With Nonuniform Memory
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.Variable memory effects are essential for accurately modeling nonlocal phenomena in applied mathematics, physics, and engineering. Motivated by this observation, we develop a new class of variable‐order postquantum fractional integral inequalities based on the Riemann–Liouville (RL)‐type (p, q)‐fractional integral operator with a q‐shifting structure ...
Ashraf Al-Quran +4 more
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An Ostrowski Type Inequality for Convex Functions [PDF]
, 2002 An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf’s and (HH ...
Dragomir, Sever S
core
Refined Hardy‐Type Inequalities Involving New Green Functions and Montgomery Identity
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.Some Hardy‐type inequalities are established in the paper by the suitable combinations of new Green functions on time scales, which are furthermore extended with the help of generalized Montgomery identity involving Taylor formula on time scales. Bounds of Grüss‐ and Ostrowski‐type inequalities related to these Hardy‐type inequalities on time scales ...
Ammara Nosheen +4 more
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An Inequality of Ostrowski Type for Twice Differentiable Mappings in Terms of the Lp Norm and Applications [PDF]
, 1999 An inequality of the Ostrowski type for twice differentiable mappings whose derivatives belong to Lp (a, b) , 1 < p < ∞, and applications to special means and numerical integration are ...
Dragomir, Sever S, Sofo, Anthony
core
Properties and Applications of Symmetric Quantum Calculus
Fractal and FractionalSymmetric derivatives and integrals are extensively studied to overcome the limitations of classical derivatives and integral operators. In the current investigation, we explore the quantum symmetric derivatives on finite intervals.
Miguel Vivas-Cortez +4 more
doaj +1 more source
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.This study proves numerous novel Ostrowski‐type inequalities for nabla‐α differentiable functions by employing the α‐conformable fractional calculus on time scales. Generalized forms of Grüss and trapezoid‐type inequalities are also obtained for single‐variate functions with bounded second‐order nabla‐α derivatives.
Khuram Ali Khan +5 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper develops a family of Hermite–Hadamard–Mercer‐type inequalities within the framework of generalized conformable fractional calculus. By interpreting generalized conformable fractional integrals as weighted integral means depending on the order parameter, we derive refined two‐sided bounds for coordinated convex functions that incorporate ...
Jen Chieh Lo, Mohammad Rezwan Habib
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