Some new inequalities involving the Hardy operator
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DOI: 10.1002/mana.201900080
Abstract: In this paper we derive some new inequalities involving the Hardy operator, using some estimates of the Jensen functional, continuous form generalization of the Bellman inequality and a Banach spac ... read more here.
Keywords: inequalities involving; hardy operator; new inequalities; involving hardy ... See more keywords
Inequalities Involving Fractional Integrals of a Function and Its Derivative
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DOI: 10.1007/s10958-019-04436-1
Abstract: New inequalities for fractional integrals of a function and its derivative are proved. Lower estimates of weighted norms of the derivative through fractional Riemann–Liouville integrals are obtained. read more here.
Keywords: involving fractional; function derivative; integrals function; fractional integrals ... See more keywords
Some Inequalities Involving Fractional q-Derivatives Related to the q-Leibniz Rule
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DOI: 10.1007/s40840-018-0655-4
Abstract: In this paper, we present some inequalities for Riemann–Liouville and Caputo q-fractional derivatives related to the q-Leibniz rule. We used one of the inequalities to prove the maximum principle for a time fractional q-Cauchy differential… read more here.
Keywords: leibniz rule; derivatives related; inequalities involving; fractional derivatives ... See more keywords
Diophantine inequalities involving a prime and an almost-prime
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DOI: 10.1016/j.jnt.2016.05.008
Abstract: Abstract We prove that there are infinitely many solutions of | λ 0 + λ 1 p + λ 2 P 3 | p − 1 131 , where λ 0 is an arbitrary real… read more here.
Keywords: diophantine inequalities; inequalities involving; involving prime; prime almost ... See more keywords
Norm inequalities involving accretive-dissipative 2 × 2 block matrices
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DOI: 10.1016/j.laa.2016.04.015
Abstract: Abstract Let T 11 , T 12 , T 21 , and T 22 be n × n complex matrices, and let T = ( T 11 T 12 T 21 T 22 ) be… read more here.
Keywords: dissipative block; involving accretive; inequalities involving; norm ... See more keywords
Higher-order evolution inequalities involving convection and hardy-leray potential terms in a bounded domain
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DOI: 10.1017/s0013091523000172
Abstract: We consider a class of nonlinear higher-order evolution inequalities posed in $(0,\infty)\times B_1\backslash\{0\}$ , subject to inhomogeneous Dirichlet-type boundary conditions, where B1 is the unit ball in $\mathbb{R}^N$ . The considered class involves differential operators… read more here.
Keywords: order evolution; higher order; evolution inequalities; inequalities involving ... See more keywords
LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES INVOLVING GENERALIZED h-CONVEX FUNCTIONS AND SOME APPLICATIONS FOR GENERALIZED MOMENTS
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DOI: 10.1142/s0218348x21500067
Abstract: In this paper, we establish some local fractional Ostrowski-type integral inequalities for generalized [Formula: see text]-convex functions on real linear fractal set [Formula: see text]. We present two examples to illustrate our main results. As… read more here.
Keywords: ostrowski type; local fractional; fractional ostrowski; convex functions ... See more keywords
On Some New Dynamic Inequalities Involving C-Monotonic Functions on Time Scales
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DOI: 10.3390/axioms11110644
Abstract: In this paper, we establish some new dynamic inequalities involving C-monotonic functions with C≥1, on time scales. As a special case of our results when C=1, we obtain the inequalities involving increasing or decreasing functions… read more here.
Keywords: inequalities involving; dynamic inequalities; monotonic functions; new dynamic ... See more keywords
Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s,m)-Convexity
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DOI: 10.3390/axioms12020106
Abstract: Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions. In addition, we look at some interactions between generalized exponentially (s,m)-convex functions and… read more here.
Keywords: local fractional; inequalities involving; generalized exponentially; fractional inequalities ... See more keywords
Some Integral Inequalities Involving Metrics
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DOI: 10.3390/e23070871
Abstract: In this work, we establish some integral inequalities involving metrics. Moreover, some applications to partial metric spaces are given. Our results are extension of previous obtained metric inequalities in the discrete case. read more here.
Keywords: inequalities involving; integral inequalities; involving metrics;
Integral Inequalities Involving Strictly Monotone Functions
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DOI: 10.3390/math11081873
Abstract: Functional inequalities involving special functions are very useful in mathematical analysis, and several interesting results have been obtained in this topic. Several methods have been used by many authors in order to derive upper or… read more here.
Keywords: strictly monotone; inequalities involving; monotone functions; integral inequalities ... See more keywords